The number of phone calls to the attendance office of a high school on any given school day A) continuous B) discrete

Size: px
Start display at page:

Download "The number of phone calls to the attendance office of a high school on any given school day A) continuous B) discrete"

Transcription

1 Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) State whether the variable is discrete or continuous. The number of cups of coffee sold in a cafeteria during lunch A) discrete B) continuous 1) 2) State whether the variable is discrete or continuous. The height of a player on a basketball team A) discrete B) continuous 2) 3) State whether the variable is discrete or continuous. The cost of a Statistics textbook A) discrete B) continuous 3) 4) State whether the variable is discrete or continuous. The blood pressures of a group of students the day before their final exam A) continuous B) discrete 4) 5) State whether the variable is discrete or continuous. The temperature in degrees Fahrenheit on July 4th in Juneau, Alaska A) discrete B) continuous 5) 6) State whether the variable is discrete or continuous. The number of goals scored in a soccer game A) discrete B) continuous 6) 7) State whether the variable is discrete or continuous. The speed of a car on a Los Angeles freeway during rush hour traffic A) continuous B) discrete 7) 8) State whether the variable is discrete or continuous. The number of phone calls to the attendance office of a high school on any given school day A) continuous B) discrete 8) 9) State whether the variable is discrete or continuous. The age of the oldest student in a statistics class A) continuous B) discrete 9) 10) State whether the variable is discrete or continuous. The number of pills in a container of vitamins A) discrete B) continuous 10) 11) State whether the variable is discrete or continuous. The number of cups of coffee sold in a cafeteria during lunch A) continuous B) discrete 11) 1

2 12) State whether the variable is discrete or continuous. The height of a player on a basketball team A) discrete B) continuous 12) 13) State whether the variable is discrete or continuous. The cost of a Statistics textbook A) continuous B) discrete 13) 14) State whether the variable is discrete or continuous. The blood pressures of a group of students the day before their final exam A) discrete B) continuous 14) 15) State whether the variable is discrete or continuous. The temperature in degrees Fahrenheit on July 4th in Juneau, Alaska A) discrete B) continuous 15) 16) State whether the variable is discrete or continuous. The number of goals scored in a soccer game A) continuous B) discrete 16) 17) State whether the variable is discrete or continuous. The speed of a car on a Los Angeles freeway during rush hour traffic A) discrete B) continuous 17) 18) State whether the variable is discrete or continuous. The number of phone calls to the attendance office of a high school on any given school day A) continuous B) discrete 18) 19) State whether the variable is discrete or continuous. The age of the oldest student in a statistics class A) continuous B) discrete 19) 20) State whether the variable is discrete or continuous. The number of pills in a container of vitamins A) continuous B) discrete 20) 21) The random variable x represents the number of cars per household in a town of 1000 households. Find the probability of randomly selecting a household that has less than two cars. 21) Cars Households A) B) C) D)

3 22) The random variable x represents the number of cars per household in a town of 1000 households. Find the probability of randomly selecting a household that has at least one car. 22) Cars Households A) B) C) D) ) The random variable x represents the number of cars per household in a town of 1000 households. Find the probability of randomly selecting a household that has between one and three cars, inclusive. 23) Cars Households A) B) C) D) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 24) A student has five motor vehicle accidents in one year and claims that having five accidents is not unusual. Use the frequency distribution below to determine if the student is correct. 24) Accidents Students ) A baseball player gets four hits during the World Series and a sports announcer claims that getting four or more hits is not unusual. Use the frequency distribution below to determine if the sports announcer is correct. 25) Hits Players MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 26) The random variable x represents the number of cars per household in a town of 1000 households. Find the probability of randomly selecting a household that has less than two cars. 26) Cars Households A) B) C) D)

4 27) The random variable x represents the number of cars per household in a town of 1000 households. Find the probability of randomly selecting a household that has at least one car. 27) Cars Households A) B) C) D) ) The random variable x represents the number of cars per household in a town of 1000 households. Find the probability of randomly selecting a household that has between one and three cars, inclusive. 28) Cars Households A) B) C) D) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 29) A student has five motor vehicle accidents in one year and claims that having five accidents is not unusual. Use the frequency distribution below to determine if the student is correct. 29) Accidents Students ) A baseball player gets four hits during the World Series and a sports announcer claims that getting four or more hits is not unusual. Use the frequency distribution below to determine if the sports announcer is correct. 30) Hits Players ) A sports analyst records the winners of NASCAR Winston Cup races for a recent season. The random variable x represents the races won by a driver in one season. Use the frequency distribution to construct a probability distribution. 31) Wins Drivers

5 32) An insurance actuary asked a sample of senior citizens the cause of their automobile accidents over a two-year period. The random variable x represents the number of accidents caused by their failure to yield the right of way. Use the frequency distribution to construct a probability distribution. 32) Accidents Senior Citizens ) A sports announcer researched the performance of baseball players in the World Series. The random variable x represents the number of of hits a player had in the series. Use the frequency distribution to construct a probability distribution. 33) Hits Players MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 34) Determine the probability distributionʹs missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students 34) x P(x) ? 1 21 A) B) 3 7 C) 4 7 D) ) Determine the probability distributionʹs missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students 35) x P(x) ? A) B) 0.15 C) 0.58 D) ) Determine the probability distributionsʹs missing value. The probability that a tutor sees 0, 1, 2, 3, or 4 students on a given day. 36) x P(x)? A) 0.50 B) 0.20 C) 1.0 D) 0.80 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 37) The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, (a) construct a probability distribution, and (b) graph the distribution. 37) 5

6 38) The random variable x represents the number of tests that a patient entering a hospital will have along with the corresponding probabilities. Graph the probability distribution. 38) x P(x) ) The random variable x represents the number of credit cards that adults have along with the corresponding probabilities. Graph the probability distribution. 39) ) In a pizza takeout restaurant, the following probability distribution was obtained. The random variable x represents the number of toppings for a large pizza. Graph the probability distribution. 40) ) Use the frequency distribution to (a) construct a probability distribution for the random variable x represents the number of cars per household in a town of 1000 households, and (b) graph the distribution. 41) Cars Households ) A sports analyst records the winners of NASCAR Winston Cup races for a recent season. The random variable x represents the races won by a driver in one season. Use the frequency distribution to construct a probability distribution. 42) Wins Drivers

7 43) An insurance actuary asked a sample of senior citizens the cause of their automobile accidents over a two-year period. The random variable x represents the number of accidents caused by their failure to yield the right of way. Use the frequency distribution to construct a probability distribution. 43) Accidents Senior Citizens ) A sports announcer researched the performance of baseball players in the World Series. The random variable x represents the number of of hits a player had in the series. Use the frequency distribution to construct a probability distribution. 44) Hits Players MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 45) Determine the probability distributionʹs missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students 45) x P(x) ? 5 17 A) 1 17 B) C) 2 17 D) ) Determine the probability distributionʹs missing value. The probability that a tutor will see 0, 1, 2, 3, or 4 students 46) x P(x) ? A) 0.82 B) C) 0.36 D) ) Determine the probability distributionsʹs missing value. The probability that a tutor sees 0, 1, 2, 3, or 4 students on a given day. 47) x P(x)? A) 1.0 B) 0.20 C) 0.80 D) ) The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the random variable x. A) mean: 1.50; standard deviation: 0.76 B) mean: 1.50; standard deviation: 0.87 C) mean: 2.25; standard deviation: 0.87 D) mean: 2.25; standard deviation: ) 7

8 49) The random variable x represents the number of tests that a patient entering a hospital will have along with the corresponding probabilities. Find the mean and standard deviation. 49) x P(x) A) mean: 1.59; standard deviation: 3.71 B) mean: 1.59; standard deviation: 1.09 C) mean: 2.52; standard deviation: 1.93 D) mean: 3.72; standard deviation: ) The random variable x represents the number of credit cards that adults have along with the corresponding probabilities. Find the mean and standard deviation. 50) A) mean: 1.30; standard deviation: 0.44 B) mean: 1.30; standard deviation: 0.32 C) mean: 1.23; standard deviation: 0.44 D) mean: 1.23; standard deviation: ) In a pizza takeout restaurant, the following probability distribution was obtained. The random variable x represents the number of toppings for a large pizza. Find the mean and standard deviation. 51) A) mean: 1.30; standard deviation: 2.38 B) mean: 1.54; standard deviation: 1.30 C) mean: 1.14; standard deviation: 1.04 D) mean: 1.30; standard deviation: ) One thousand tickets are sold at $4 each. One ticket will be randomly selected and the winner will receive a color television valued at $350. What is the expected value for a person that buys one ticket? A) $1.00 B) $3.65 C) -$1.00 D) -$ ) 53) If a person rolls doubles when tossing two dice, the roller profits $75. If the game is fair, how much should the person pay to play the game? A) $75 B) $15 C) $72 D) $74 53) 54) At a raffle, 10,000 tickets are sold at $5 each for three prizes valued at $4,800, $1,200, and $400. What is the expected value of one ticket? A) $0.64 B) $4.36 C) -$4.36 D) -$ ) 55) At a raffle, 10,000 tickets are sold at $10 each for three prizes valued at $4,800, $1,200, and $400. What is the expected value of one ticket? A) -$0.64 B) -$9.36 C) $0.64 D) $ ) 8

9 56) In a raffle, 1,000 tickets are sold for $2 each. One ticket will be randomly selected and the winner will receive a laptop computer valued at $1200. What is the expected value for a person that buys one ticket? A) -$1.20 B) $1.20 C) $0.8 D) -$ ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 57) From the probability distribution, find the mean and standard deviation for the random variable x, which represents the number of cars per household in a town of 1000 households. 57) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 58) The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the random variable x. A) mean: 2.25; standard deviation: 0.76 B) mean: 1.50; standard deviation: 0.87 C) mean: 1.50; standard deviation: 0.76 D) mean: 2.25; standard deviation: ) 59) The random variable x represents the number of tests that a patient entering a hospital will have along with the corresponding probabilities. Find the mean and standard deviation. 59) x P(x) A) mean: 2.52; standard deviation: 1.93 B) mean: 1.59; standard deviation: 1.09 C) mean: 1.59; standard deviation: 3.71 D) mean: 3.72; standard deviation: ) The random variable x represents the number of credit cards that adults have along with the corresponding probabilities. Find the mean and standard deviation. 60) A) mean: 1.30; standard deviation: 0.44 B) mean: 1.23; standard deviation: 0.44 C) mean: 1.23; standard deviation: 0.66 D) mean: 1.30; standard deviation:

10 61) In a pizza takeout restaurant, the following probability distribution was obtained. The random variable x represents the number of toppings for a large pizza. Find the mean and standard deviation. 61) A) mean: 1.14; standard deviation: 1.04 B) mean: 1.30; standard deviation: 2.38 C) mean: 1.30; standard deviation: 1.54 D) mean: 1.54; standard deviation: ) One thousand tickets are sold at $2 each. One ticket will be randomly selected and the winner will receive a color television valued at $350. What is the expected value for a person that buys one ticket? A) -$1.00 B) $1.00 C) $1.65 D) -$ ) 63) If a person rolls doubles when tossing two dice, the roller profits $95. If the game is fair, how much should the person pay to play the game? A) $95 B) $94 C) $19 D) $92 63) 64) At a raffle, 10,000 tickets are sold at $5 each for three prizes valued at $4,800, $1,200, and $400. What is the expected value of one ticket? A) $4.36 B) -$0.64 C) $0.64 D) -$ ) 65) At a raffle, 10,000 tickets are sold at $10 each for three prizes valued at $4,800, $1,200, and $400. What is the expected value of one ticket? A) -$0.64 B) -$9.36 C) $0.64 D) $ ) 66) In a raffle, 1,000 tickets are sold for $2 each. One ticket will be randomly selected and the winner will receive a laptop computer valued at $1200. What is the expected value for a person that buys one ticket? A) -$0.80 B) -$1.20 C) $1.20 D) $0.8 66) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 67) From the probability distribution, find the mean and standard deviation for the random variable x, which represents the number of cars per household in a town of 1000 households. 67) ) Decide whether the experiment is a binomial experiment. If it is not, explain why. You observe the gender of the next 700 babies born at a local hospital. The random variable represents the number of girls. 68) 10

11 69) Decide whether the experiment is a binomial experiment. If it is not, explain why. You roll a die 350 times. The random variable represents the number that appears on each roll of the die. 69) 70) Decide whether the experiment is a binomial experiment. If it is not, explain why. You spin a number wheel that has 20 numbers 450 times. The random variable represents the winning numbers on each spin of the wheel. 70) 71) Decide whether the experiment is a binomial experiment. If it is not, explain why. You test four pain relievers. The random variable represents the pain reliever that is most effective. 71) 72) Decide whether the experiment is a binomial experiment. If it is not, explain why. Testing a pain reliever using 80 people to determine if it is effective. The random variable represents the number of people who find the pain reliever to be effective. 72) 73) Decide whether the experiment is a binomial experiment. If it is not, explain why. Surveying 1000 prisoners to see how many crimes in which they were convicted. The random variable represents the number of crimes in which each prisoner was convicted. 73) 74) Decide whether the experiment is a binomial experiment. If it is not, explain why. Surveying 850 prisoners to see whether they are serving time for their first offense. The random variable represents the number of prisoners serving time for their first offense. 74) 75) Decide whether the experiment is a binomial experiment. If it is not, explain why. Each week, a man plays a game in which he has a 41% chance of winning. The random variable is the number of times he wins in 49 weeks. 75) 76) Decide whether the experiment is a binomial experiment. If it is not, explain why. Selecting five cards, one at a time without replacement, from a standard deck of cards. The random variable is the number of red cards obtained. 76) 77) Decide whether the experiment is a binomial experiment. If it is not, explain why. You observe the gender of the next 300 babies born at a local hospital. The random variable represents the number of girls. 77) 78) Decide whether the experiment is a binomial experiment. If it is not, explain why. You roll a die 650 times. The random variable represents the number that appears on each roll of the die. 78) 79) Decide whether the experiment is a binomial experiment. If it is not, explain why. You spin a number wheel that has 17 numbers 250 times. The random variable represents the winning numbers on each spin of the wheel. 79) 80) Decide whether the experiment is a binomial experiment. If it is not, explain why. You test four pain relievers. The random variable represents the pain reliever that is most effective. 80) 81) Decide whether the experiment is a binomial experiment. If it is not, explain why. Testing a pain reliever using 840 people to determine if it is effective. The random variable represents the number of people who find the pain reliever to be effective. 81) 11

12 82) Decide whether the experiment is a binomial experiment. If it is not, explain why. Surveying 100 prisoners to see how many crimes in which they were convicted. The random variable represents the number of crimes in which each prisoner was convicted. 82) 83) Decide whether the experiment is a binomial experiment. If it is not, explain why. Surveying 550 prisoners to see whether they are serving time for their first offense. The random variable represents the number of prisoners serving time for their first offense. 83) 84) Decide whether the experiment is a binomial experiment. If it is not, explain why. Each week, a man plays a game in which he has a 26% chance of winning. The random variable is the number of times he wins in 50 weeks. 84) 85) Decide whether the experiment is a binomial experiment. If it is not, explain why. Selecting five cards, one at a time without replacement, from a standard deck of cards. The random variable is the number of red cards obtained. 85) 86) The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, (a) construct a probability distribution, and (b) graph the distribution. 86) 87) The random variable x represents the number of tests that a patient entering a hospital will have along with the corresponding probabilities. Graph the probability distribution. 87) x P(x) ) The random variable x represents the number of credit cards that adults have along with the corresponding probabilities. Graph the probability distribution. 88) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 89) Find the mean of the binomial distribution for which n = 10 and p = 0.2. A) 2 B) 10 C) 5 D) ) 90) Find the variance of the binomial distribution for which n = 700 and p = A) 8.6 B) C) D) ) 91) Find the standard deviation of the binomial distribution for which n = 600 and p = A) 8.5 B) C) 6.31 D) ) 12

13 92) A test consists of 770 true or false questions. If the student guesses on each question, what is the mean number of correct answers? A) 385 B) 154 C) 0 D) ) 93) A test consists of 70 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers? A) 0 B) 2 C) 5.92 D) ) 94) In a recent survey, 80% of the community favored building a police substation in their neighborhood. If 15 citizens are chosen, what is the mean number favoring the substation? A) 10 B) 12 C) 8 D) 15 94) 95) In a recent survey, 80% of the community favored building a police substation in their neighborhood. If 15 citizens are chosen, what is the standard deviation of the number favoring the substation? A) 2.40 B) 1.55 C) 0.98 D) ) 96) The probability that a house in an urban area will be burglarized is 5%. If 20 houses are randomly selected, what is the mean of the number of houses burglarized? A) 0.5 B) 1.5 C) 10 D) 1 96) 97) In one city, 33% of adults smoke. In groups of size 90 of adults, what is the variance of the number that smoke? A) 4.46 B) 19.9 C) 9.95 D) ) 98) A test consists of 70 multiple choice questions, each with five possible answers, only one of which is correct. Find the mean and the standard deviation of the number of correct answers. A) mean: 35; standard deviation: 5.92 B) mean: 14; standard deviation: 3.35 C) mean: 14; standard deviation: 3.74 D) mean: 35; standard deviation: ) 99) The probability that an individual is left-handed is 0.1. In a class of 20 students, what is the mean and standard deviation of the number of left-handers in the class? A) mean: 20; standard deviation: 1.34 B) mean: 2; standard deviation: 1.41 C) mean: 20; standard deviation: 1.41 D) mean: 2; standard deviation: ) 100) A recent survey found that 78% of all adults over 50 wear glasses for driving. In a random sample of 40 adults over 50, what is the mean and standard deviation of those that wear glasses? A) mean: 8.8; standard deviation: 5.59 B) mean: 8.8; standard deviation: 2.62 C) mean: 31.2; standard deviation: 5.59 D) mean: 31.2; standard deviation: ) 101) According to government data, the probability that a woman between the ages of 25 and 29 was never married is 40%. In a random survey of 10 women in this age group, what is the mean and standard deviation of the number that never married? A) mean: 4; standard deviation: 2.4 B) mean: 6; standard deviation: 155 C) mean: 4; standard deviation: 1.55 D) mean: 6; standard deviation: ) 13

14 102) According to police sources, a car with a certain protection system will be recovered 90% of the time. If 800 stolen cars are randomly selected, what is the mean and standard deviation of the number of cars recovered after being stolen? A) mean: 720; standard deviation: 8.49 B) mean: 720; standard deviation: 72 C) mean: 568: standard deviation: 72 D) mean: 568: standard deviation: ) 103) The probability that a tennis set will go to a tiebreaker is 15%. In 100 randomly selected tennis sets, what is the mean and the standard deviation of the number of tiebreakers? A) mean: 15; standard deviation: 3.57 B) mean: 14; standard deviation: 3.57 C) mean: 15; standard deviation: 3.87 D) mean: 14; standard deviation: ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 104) Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Suppose that 300 couples each have a baby; find the mean and standard deviation for the number of girls in the 300 babies. 104) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 105) Find the mean of the binomial distribution for which n = 60 and p = 0.2. A) 60 B) 30 C) 12 D) ) 106) Find the variance of the binomial distribution for which n = 800 and p = A) B) 704 C) D) ) 107) Find the standard deviation of the binomial distribution for which n = 400 and p = A) B) 6.31 C) 356 D) ) 108) A test consists of 850 true or false questions. If the student guesses on each question, what is the mean number of correct answers? A) 170 B) 0 C) 850 D) ) 109) A test consists of 910 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers? A) B) C) 2 D) 0 109) 110) In a recent survey, 80% of the community favored building a police substation in their neighborhood. If 15 citizens are chosen, what is the mean number favoring the substation? A) 12 B) 15 C) 10 D) 8 110) 111) In a recent survey, 80% of the community favored building a police substation in their neighborhood. If 15 citizens are chosen, what is the standard deviation of the number favoring the substation? A) 1.55 B) 0.55 C) 2.40 D) ) 112) The probability that a house in an urban area will be burglarized is 5%. If 20 houses are randomly selected, what is the mean of the number of houses burglarized? A) 1.5 B) 10 C) 0.5 D) 1 112) 14

15 113) In one city, 21% of adults smoke. In groups of size 130 of adults, what is the variance of the number that smoke? A) 27.3 B) C) D) ) 114) A test consists of 30 multiple choice questions, each with five possible answers, only one of which is correct. Find the mean and the standard deviation of the number of correct answers. A) mean: 15; standard deviation: 3.87 B) mean: 15; standard deviation: 2.19 C) mean: 6; standard deviation: 2.45 D) mean: 6; standard deviation: ) 115) The probability that an individual is left-handed is In a class of 40 students, what is the mean and standard deviation of the number of left-handers in the class? A) mean: 40; standard deviation: 2.61 B) mean: 40; standard deviation: 2.38 C) mean: 6.8; standard deviation: 2.61 D) mean: 6.8; standard deviation: ) 116) A recent survey found that 69% of all adults over 50 wear glasses for driving. In a random sample of 70 adults over 50, what is the mean and standard deviation of those that wear glasses? A) mean: 48.3; standard deviation: 3.87 B) mean: 21.7; standard deviation: 6.95 C) mean: 48.3; standard deviation: 6.95 D) mean: 21.7; standard deviation: ) 117) According to government data, the probability that a woman between the ages of 25 and 29 was never married is 40%. In a random survey of 10 women in this age group, what is the mean and standard deviation of the number that never married? A) mean: 6; standard deviation: 155 B) mean: 4; standard deviation: 2.4 C) mean: 4; standard deviation: 1.55 D) mean: 6; standard deviation: ) 118) According to police sources, a car with a certain protection system will be recovered 94% of the time. If 400 stolen cars are randomly selected, what is the mean and standard deviation of the number of cars recovered after being stolen? A) mean: 376; standard deviation: B) mean: 376; standard deviation: 4.75 C) mean: 122: standard deviation: D) mean: 122: standard deviation: ) 119) The probability that a tennis set will go to a tiebreaker is 16%. In 420 randomly selected tennis sets, what is the mean and the standard deviation of the number of tiebreakers? A) mean: 67.2; standard deviation: 8.2 B) mean: 67.2; standard deviation: 7.51 C) mean: 63; standard deviation: 8.2 D) mean: 63; standard deviation: ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 120) Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Suppose that 1000 couples each have a baby; find the mean and standard deviation for the number of girls in the 1000 babies. 120) 15

16 121) In a pizza takeout restaurant, the following probability distribution was obtained. The random variable x represents the number of toppings for a large pizza. Graph the probability distribution. 121) ) Use the frequency distribution to (a) construct a probability distribution for the random variable x represents the number of cars per household in a town of 1000 households, and (b) graph the distribution. 122) Cars Households MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 123) Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of exactly five boys in ten births. A) 0.05 B) C) D) ) 124) Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of at most three boys in ten births. A) B) C) D) ) 125) A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the student guesses on each question, what is the probability that the student will pass the test? A) B) 0.08 C) 0.8 D) ) 126) A test consists of 10 multiple choice questions, each with five possible answers, one of which is correct. To pass the test a student must get 60% or better on the test. If a student randomly guesses, what is the probability that the student will pass the test? A) B) C) D) ) 127) In a recent survey, 79% of the community favored building a police substation in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the police substation. A) B) C) D) ) 16

17 128) The probability that an individual is left-handed is 0.1. In a class of 44 students, what is the probability of finding five left-handers? A) 0.1 B) C) D) ) 129) A recent survey found that 70% of all adults over 50 wear glasses for driving. In a random sample of 10 adults over 50, what is the probability that at least six wear glasses? A) B) C) D) ) 130) According to government data, the probability that a woman between the ages of 25 and 29 was never married is 40%. In a random survey of 10 women in this age group, what is the probability that two or fewer were never married? A) B) C) D) ) 131) According to government data, the probability that a woman between the ages of 25 and 29 was never married is 40%. In a random survey of 10 women in this age group, what is the probability that at least eight were married? A) B) C) D) ) 132) According to police sources, a car with a certain protection system will be recovered 87% of the time. Find the probability that 4 of 8 stolen cars will be recovered. A) B) 0.87 C) D) ) 133) The probability that a tennis set will go to a tie-breaker is 17%. What is the probability that two of three sets will go to tie-breakers? A) B) C) 0.17 D) ) 134) Fifty percent of the people that get mail-order catalogs order something. Find the probability that exactly two of 8 people getting these catalogs will order something. A) B) C) D) ) 135) The probability that a house in an urban area will be burglarized is 3%. If 25 houses are randomly selected, what is the probability that none of the houses will be burglarized? A) B) C) D) ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 136) An airline has a policy of booking as many as 150 persons on a plane that seats 140. Past studies indicate that only 85% of booked passengers show up for their flight. Find the probability that if the airline books 150 persons for a 140-seat plane, not enough seats will be available. 136) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 137) Sixty-five percent of men consider themselves knowledgeable football fans. If 12 men are randomly selected, find the probability that exactly four of them will consider themselves knowledgeable fans. A) B) C) D) ) 17

18 138) Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of exactly eight boys in ten births. A) 0.08 B) C) D) ) 139) Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of at most three boys in ten births. A) B) C) D) ) 140) A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the student guesses on each question, what is the probability that the student will pass the test? A) B) 0.8 C) 0.08 D) ) 141) A test consists of 10 multiple choice questions, each with five possible answers, one of which is correct. To pass the test a student must get 60% or better on the test. If a student randomly guesses, what is the probability that the student will pass the test? A) B) C) D) ) 142) In a recent survey, 73% of the community favored building a police substation in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the police substation. A) B) C) D) ) 143) The probability that an individual is left-handed is In a class of 23 students, what is the probability of finding five left-handers? A) B) C) 0.19 D) ) 144) A recent survey found that 70% of all adults over 50 wear glasses for driving. In a random sample of 10 adults over 50, what is the probability that at least six wear glasses? A) B) C) D) ) 145) According to government data, the probability that a woman between the ages of 25 and 29 was never married is 40%. In a random survey of 10 women in this age group, what is the probability that two or fewer were never married? A) B) C) D) ) 146) According to government data, the probability that a woman between the ages of 25 and 29 was never married is 40%. In a random survey of 10 women in this age group, what is the probability that at least eight were married? A) B) C) D) ) 147) The probability that a tennis set will go to a tie-breaker is 11%. What is the probability that two of three sets will go to tie-breakers? A) 0.11 B) C) D) ) 148) Fifty percent of the people that get mail-order catalogs order something. Find the probability that exactly five of 8 people getting these catalogs will order something. A) B) C) D) ) 18

19 149) The probability that a house in an urban area will be burglarized is 4%. If 19 houses are randomly selected, what is the probability that none of the houses will be burglarized? A) B) C) D) ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 150) An airline has a policy of booking as many as 150 persons on a plane that seats 140. Past studies indicate that only 85% of booked passengers show up for their flight. Find the probability that if the airline books 150 persons for a 140-seat plane, not enough seats will be available. 150) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 151) Sixty-five percent of men consider themselves knowledgeable football fans. If 10 men are randomly selected, find the probability that exactly three of them will consider themselves knowledgeable fans. A) B) 0.65 C) D) ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 152) You observe the gender of the next 100 babies born at a local hospital. You count the number of girls born. Identify the values of n, p, and q, and list the possible values of the random variable x. 152) 153) Twenty-six percent of people in the United States with Internet access go online to get news. A random sample of five Americans with Internet access is selected and asked if they get the news online. Identify the values of n, p, and q, and list the possible values of the random variable x. 153) 154) Fifty-seven percent of families say that their children have an influence on their vacation plans. Consider a sample of eight families who are asked if their children influence their vacation plans. Identify the values of n, p, and q, and list the possible values of the random variable x. 154) 155) Thirty-eight percent of people in the United States have type O+ blood. You randomly select 30 Americans and ask them if their blood type is O+. Identify the values of n, p, and q, and list the possible values of the random variable x. 155) 156) You observe the gender of the next 100 babies born at a local hospital. You count the number of girls born. Identify the values of n, p, and q, and list the possible values of the random variable x. 156) 157) Twenty-six percent of people in the United States with Internet access go online to get news. A random sample of five Americans with Internet access is selected and asked if they get the news online. Identify the values of n, p, and q, and list the possible values of the random variable x. 157) 158) Fifty-seven percent of families say that their children have an influence on their vacation plans. Consider a sample of eight families who are asked if their children influence their vacation plans. Identify the values of n, p, and q, and list the possible values of the random variable x. 158) 19

20 159) Thirty-eight percent of people in the United States have type O+ blood. You randomly select 30 Americans and ask them if their blood type is O+. Identify the values of n, p, and q, and list the possible values of the random variable x. 159) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 160) A statistics professor finds that when he schedules an office hour at the 10:30 a.m. time slot, an average of three students arrive. Use the Poisson distribution to find the probability that in a randomly selected office hour in the 10:30 a.m. time slot exactly six students will arrive. A) B) C) D) ) 161) A statistics professor finds that when he schedules an office hour at the 10:30 a.m. time slot, an average of three students arrives. Use the Poisson distribution to find the probability that in a randomly selected office hour no students will arrive. A) B) C) D) ) 162) A sales firm receives an average of four calls per hour on its toll-free number. For any given hour, find the probability that it will receive exactly nine calls. Use the Poisson distribution. A) B) C) D) ) 163) A sales firm receives an average of three calls per hour on its toll-free number. For any given hour, find the probability that it will receive at least three calls. Use the Poisson distribution. A) B) C) D) ) 164) A mail-order company receives an average of five orders per 500 solicitations. If it sends out 100 advertisements, find the probability of receiving at least two orders. Use the Poisson distribution. A) B) C) D) ) 165) A local fire station receives an average of 0.55 rescue calls per day. Use the Poisson distribution to find the probability that on a randomly selected day, the fire station will receive fewer than two calls. A) B) C) D) ) 166) A car towing service company averages two calls per hour. Use the Poisson distribution to determine the probability that in a randomly selected hour the number of calls is five. A) B) C) D) ) 167) A book contains 500 pages. If there are 200 typing errors randomly distributed throughout the book, use the Poisson distribution to determine the probability that a page contains exactly three errors. A) B) C) D) ) 168) A statistics professor finds that when he schedules an office hour at the 10:30 a.m. time slot, an average of three students arrive. Use the Poisson distribution to find the probability that in a randomly selected office hour in the 10:30 a.m. time slot exactly four students will arrive. A) B) C) D) ) 20

21 169) A statistics professor finds that when he schedules an office hour at the 10:30 a.m. time slot, an average of three students arrives. Use the Poisson distribution to find the probability that in a randomly selected office hour no students will arrive. A) B) C) D) ) 170) A sales firm receives an average of four calls per hour on its toll-free number. For any given hour, find the probability that it will receive exactly five calls. Use the Poisson distribution. A) B) C) D) ) 171) A sales firm receives an average of three calls per hour on its toll-free number. For any given hour, find the probability that it will receive at least three calls. Use the Poisson distribution. A) B) C) D) ) 172) A mail-order company receives an average of five orders per 500 solicitations. If it sends out 100 advertisements, find the probability of receiving at least two orders. Use the Poisson distribution. A) B) C) D) ) 173) A local fire station receives an average of 0.55 rescue calls per day. Use the Poisson distribution to find the probability that on a randomly selected day, the fire station will receive fewer than two calls. A) B) C) D) ) 174) A car towing service company averages two calls per hour. Use the Poisson distribution to determine the probability that in a randomly selected hour the number of calls is six. A) B) C) D) ) 175) A book contains 500 pages. If there are 200 typing errors randomly distributed throughout the book, use the Poisson distribution to determine the probability that a page contains exactly two errors. A) B) C) D) ) 21

22 Answer Key Testname: MATH212PROBDISTR 1) A 2) B 3) A 4) A 5) B 6) A 7) A 8) B 9) A 10) A 11) B 12) B 13) B 14) B 15) B 16) B 17) B 18) B 19) A 20) B 21) C 22) D 23) C 24) The student is not correct. For a student to have five accidents is unusual because the probability of this event is ) The sports announcer is correct. For a baseball player to get four or more hits during a World Series is not unusual because the probability is ) B 27) A 28) D 29) The student is not correct. For a student to have five accidents is unusual because the probability of this event is ) The sports announcer is correct. For a baseball player to get four or more hits during a World Series is not unusual because the probability is ) x P(x) ) x P(x) ) ) B 35) B 22

23 Answer Key Testname: MATH212PROBDISTR 36) B 37) (a) (b) 38) 23

24 Answer Key Testname: MATH212PROBDISTR 39) 40) 24

25 Answer Key Testname: MATH212PROBDISTR 41) (a) (b) 42) x P(x) ) x P(x) ) ) A 46) D 47) B 48) B 49) B 50) D 51) C 52) D 53) B 25

26 Answer Key Testname: MATH212PROBDISTR 54) C 55) B 56) D 57) μ = 1.596; σ = ) B 59) B 60) C 61) A 62) D 63) C 64) D 65) B 66) A 67) μ = 1.596; σ = ) binomial experiment 69) Not a binomial experiment. There are more than two outcomes. 70) Not a binomial experiment. There are more than two outcomes. 71) Not a binomial experiment. There are more than two outcomes. 72) binomial experiment. 73) Not a binomial experiment. There are more than two outcomes. 74) binomial experiment. 75) binomial experiment. 76) Not a binomial experiment. The probability of success is not the same for each trial. 77) binomial experiment 78) Not a binomial experiment. There are more than two outcomes. 79) Not a binomial experiment. There are more than two outcomes. 80) Not a binomial experiment. There are more than two outcomes. 81) binomial experiment. 82) Not a binomial experiment. There are more than two outcomes. 83) binomial experiment. 84) binomial experiment. 85) Not a binomial experiment. The probability of success is not the same for each trial. 26

27 Answer Key Testname: MATH212PROBDISTR 86) (a) (b) 87) 27

28 Answer Key Testname: MATH212PROBDISTR 88) 89) A 90) B 91) A 92) A 93) D 94) B 95) B 96) D 97) B 98) B 99) D 100) D 101) C 102) A 103) A 104) μ = np = 300(0.5) = 150; σ = npq = 300(0.5)(0.5) = ) C 106) C 107) D 108) D 109) B 110) A 111) A 112) D 113) C 114) D 115) D 116) A 117) C 118) B 119) B 120) μ = np = 1000(0.5) = 500; σ = npq = 1000(0.5)(0.5) =

29 Answer Key Testname: MATH212PROBDISTR 121) 122) (a) (b) 123) B 124) C 125) A 126) C 127) A 128) C 129) A 29

30 Answer Key Testname: MATH212PROBDISTR 130) C 131) C 132) A 133) A 134) A 135) C 136) ) B 138) B 139) A 140) A 141) C 142) B 143) B 144) A 145) B 146) D 147) D 148) A 149) A 150) ) C 152) n = 100; p = 0.5; q = 0.5; x = 0, 1, 2,..., 99, ) n = 5; p = 0.26; q = 0.84; x = 0, 1, 2, 3, 4, 5 154) n = 8; p = 0.57; q = 0.43; x = 0, 1, 2, 3, 4, 5, 6, 7, 8 155) n = 30; p = 0.38; q = 0.62; x = 0, 1, 2,..., 29, ) n = 100; p = 0.5; q = 0.5; x = 0, 1, 2,..., 99, ) n = 5; p = 0.26; q = 0.84; x = 0, 1, 2, 3, 4, 5 158) n = 8; p = 0.57; q = 0.43; x = 0, 1, 2, 3, 4, 5, 6, 7, 8 159) n = 30; p = 0.38; q = 0.62; x = 0, 1, 2,..., 29, ) C 161) C 162) B 163) C 164) D 165) B 166) D 167) C 168) C 169) C 170) B 171) C 172) C 173) A 174) C 175) D 30

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Ch. 4 Discrete Probability Distributions 4.1 Probability Distributions 1 Decide if a Random Variable is Discrete or Continuous 1) State whether the variable is discrete or continuous. The number of cups

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. A) 0.4987 B) 0.9987 C) 0.0010 D) 0.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. A) 0.4987 B) 0.9987 C) 0.0010 D) 0. Ch. 5 Normal Probability Distributions 5.1 Introduction to Normal Distributions and the Standard Normal Distribution 1 Find Areas Under the Standard Normal Curve 1) Find the area under the standard normal

More information

2) The ph level in a shampoo 2) A) Discrete B) Continuous. 3) The number of field goals kicked in a football game 3)

2) The ph level in a shampoo 2) A) Discrete B) Continuous. 3) The number of field goals kicked in a football game 3) ch5practice test Identify the given random variable as being discrete or continuous. 1) The number of oil spills occurring off the Alaskan coast 1) A) Continuous B) Discrete 2) The ph level in a shampoo

More information

The practice test follows this cover sheet. It is very similar to the real Chapter Test.

The practice test follows this cover sheet. It is very similar to the real Chapter Test. AP Stats Unit IV (Chapters 14-17) Take-Home Test Info The practice test follows this cover sheet. It is very similar to the real Chapter 14-17 Test. The real test will consist of 20 multiple-choice questions

More information

Section 6.1 Discrete Random variables Probability Distribution

Section 6.1 Discrete Random variables Probability Distribution Section 6.1 Discrete Random variables Probability Distribution Definitions a) Random variable is a variable whose values are determined by chance. b) Discrete Probability distribution consists of the values

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. STATISTICS/GRACEY PRACTICE TEST/EXAM 2 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Identify the given random variable as being discrete or continuous.

More information

1) The table lists the smoking habits of a group of college students. Answer: 0.218

1) The table lists the smoking habits of a group of college students. Answer: 0.218 FINAL EXAM REVIEW Name ) The table lists the smoking habits of a group of college students. Sex Non-smoker Regular Smoker Heavy Smoker Total Man 5 52 5 92 Woman 8 2 2 220 Total 22 2 If a student is chosen

More information

Chapter 4 & 5 practice set. The actual exam is not multiple choice nor does it contain like questions.

Chapter 4 & 5 practice set. The actual exam is not multiple choice nor does it contain like questions. Chapter 4 & 5 practice set. The actual exam is not multiple choice nor does it contain like questions. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

More information

Chapter 5 - Practice Problems 1

Chapter 5 - Practice Problems 1 Chapter 5 - Practice Problems 1 Identify the given random variable as being discrete or continuous. 1) The number of oil spills occurring off the Alaskan coast 1) A) Continuous B) Discrete 2) The ph level

More information

CHAPTER 4: DISCRETE RANDOM VARIABLE

CHAPTER 4: DISCRETE RANDOM VARIABLE CHAPTER 4: DISCRETE RANDOM VARIABLE Exercise 1. A company wants to evaluate its attrition rate, in other words, how long new hires stay with the company. Over the years, they have established the following

More information

STT 315 Practice Problems II for Sections

STT 315 Practice Problems II for Sections STT 315 Practice Problems II for Sections 4.1-4.8 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) Classify the following random

More information

Odds: Odds compares the number of favorable outcomes to the number of unfavorable outcomes.

Odds: Odds compares the number of favorable outcomes to the number of unfavorable outcomes. MATH 11008: Odds and Expected Value Odds: Odds compares the number of favorable outcomes to the number of unfavorable outcomes. Suppose all outcomes in a sample space are equally likely where a of them

More information

FINAL EXAM REVIEW - Fa 13

FINAL EXAM REVIEW - Fa 13 FINAL EXAM REVIEW - Fa 13 Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. 1) The temperatures of eight different plastic spheres. 2) The sample

More information

Chapter 6 Review 0 (0.083) (0.917) (0.083) (0.917)

Chapter 6 Review 0 (0.083) (0.917) (0.083) (0.917) Chapter 6 Review MULTIPLE CHOICE. 1. The following table gives the probabilities of various outcomes for a gambling game. Outcome Lose $1 Win $1 Win $2 Probability 0.6 0.25 0.15 What is the player s expected

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Final Exam Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A researcher for an airline interviews all of the passengers on five randomly

More information

Math 150 Sample Exam #2

Math 150 Sample Exam #2 Problem 1. (16 points) TRUE or FALSE. a. 3 die are rolled, there are 1 possible outcomes. b. If two events are complementary, then they are mutually exclusive events. c. If A and B are two independent

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean for the given sample data. 1) Bill kept track of the number of hours he spent

More information

Ch5: Discrete Probability Distributions Section 5-1: Probability Distribution

Ch5: Discrete Probability Distributions Section 5-1: Probability Distribution Recall: Ch5: Discrete Probability Distributions Section 5-1: Probability Distribution A variable is a characteristic or attribute that can assume different values. o Various letters of the alphabet (e.g.

More information

Chapter 6 Random Variables

Chapter 6 Random Variables Chapter 6 Random Variables Day 1: 6.1 Discrete Random Variables Read 340-344 What is a random variable? Give some examples. A numerical variable that describes the outcomes of a chance process. Examples:

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Sample Test 2 Math 1107 DeMaio Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Create a probability model for the random variable. 1) A carnival

More information

PROBABILITY. Chapter Overview Conditional Probability

PROBABILITY. Chapter Overview Conditional Probability PROBABILITY Chapter. Overview.. Conditional Probability If E and F are two events associated with the same sample space of a random experiment, then the conditional probability of the event E under the

More information

PROBABILITY 14.3. section. The Probability of an Event

PROBABILITY 14.3. section. The Probability of an Event 4.3 Probability (4-3) 727 4.3 PROBABILITY In this section In the two preceding sections we were concerned with counting the number of different outcomes to an experiment. We now use those counting techniques

More information

Probability Worksheet

Probability Worksheet Probability Worksheet 1. A single die is rolled. Find the probability of rolling a 2 or an odd number. 2. Suppose that 37.4% of all college football teams had winning records in 1998, and another 24.8%

More information

MAT 118 DEPARTMENTAL FINAL EXAMINATION (written part) REVIEW. Ch 1-3. One problem similar to the problems below will be included in the final

MAT 118 DEPARTMENTAL FINAL EXAMINATION (written part) REVIEW. Ch 1-3. One problem similar to the problems below will be included in the final MAT 118 DEPARTMENTAL FINAL EXAMINATION (written part) REVIEW Ch 1-3 One problem similar to the problems below will be included in the final 1.This table presents the price distribution of shoe styles offered

More information

CHAPTER 6: Z-SCORES. ounces of water in a bottle. A normal distribution has a mean of 61 and a standard deviation of 15. What is the median?

CHAPTER 6: Z-SCORES. ounces of water in a bottle. A normal distribution has a mean of 61 and a standard deviation of 15. What is the median? CHAPTER 6: Z-SCORES Exercise 1. A bottle of water contains 12.05 fluid ounces with a standard deviation of 0.01 ounces. Define the random variable X in words. X =. ounces of water in a bottle Exercise

More information

Sample Term Test 2A. 1. A variable X has a distribution which is described by the density curve shown below:

Sample Term Test 2A. 1. A variable X has a distribution which is described by the density curve shown below: Sample Term Test 2A 1. A variable X has a distribution which is described by the density curve shown below: What proportion of values of X fall between 1 and 6? (A) 0.550 (B) 0.575 (C) 0.600 (D) 0.625

More information

Solutions to Homework 7 Statistics 302 Professor Larget

Solutions to Homework 7 Statistics 302 Professor Larget s to Homework 7 Statistics 30 Professor Larget Textbook Exercises.56 Housing Units in the US (Graded for Accurateness According to the 00 US Census, 65% of housing units in the US are owner-occupied while

More information

x = the number of trials until the first success is observed p = probability of "success" on a single trial Mean (Expected value)

x = the number of trials until the first success is observed p = probability of success on a single trial Mean (Expected value) BINOMIAL PROBABILITY DISTRIBUTION n k nk px ( k) p 1 p k Mean (Expected value) = np Variance 2 = np(1 p) Standard Deviation σ np(1 p) RANDOM VARIABLES Mean = xi p xi 2 Standard Deviation = x px i 1. Among

More information

If a tennis player was selected at random from the group, find the probability that the player is

If a tennis player was selected at random from the group, find the probability that the player is Basic Probability. The table below shows the number of left and right handed tennis players in a sample of 0 males and females. Left handed Right handed Total Male 3 29 32 Female 2 6 8 Total 4 0 If a tennis

More information

AP Statistics 7!3! 6!

AP Statistics 7!3! 6! Lesson 6-4 Introduction to Binomial Distributions Factorials 3!= Definition: n! = n( n 1)( n 2)...(3)(2)(1), n 0 Note: 0! = 1 (by definition) Ex. #1 Evaluate: a) 5! b) 3!(4!) c) 7!3! 6! d) 22! 21! 20!

More information

Chapter 6 ATE: Random Variables Alternate Examples and Activities

Chapter 6 ATE: Random Variables Alternate Examples and Activities Probability Chapter 6 ATE: Random Variables Alternate Examples and Activities [Page 343] Alternate Example: NHL Goals In 2010, there were 1319 games played in the National Hockey League s regular season.

More information

Probability. Experiment is a process that results in an observation that cannot be determined

Probability. Experiment is a process that results in an observation that cannot be determined Probability Experiment is a process that results in an observation that cannot be determined with certainty in advance of the experiment. Each observation is called an outcome or a sample point which may

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) (a) 2. (b) 1.5. (c) 0.5-2.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) (a) 2. (b) 1.5. (c) 0.5-2. Stats: Test 1 Review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the given frequency distribution to find the (a) class width. (b) class

More information

Review #2. Statistics

Review #2. Statistics Review #2 Statistics Find the mean of the given probability distribution. 1) x P(x) 0 0.19 1 0.37 2 0.16 3 0.26 4 0.02 A) 1.64 B) 1.45 C) 1.55 D) 1.74 2) The number of golf balls ordered by customers of

More information

Quiz CHAPTER 16 NAME: UNDERSTANDING PROBABILITY AND LONG- TERM EXPECTATIONS

Quiz CHAPTER 16 NAME: UNDERSTANDING PROBABILITY AND LONG- TERM EXPECTATIONS Quiz CHAPTER 16 NAME: UNDERSTANDING PROBABILITY AND LONG- TERM EXPECTATIONS 1. Give two examples of ways that we speak about probability in our every day lives. NY REASONABLE ANSWER OK. EXAMPLES: 1) WHAT

More information

Math 1324 Review Questions for Test 2 (by Poage) covers sections 8.3, 8.4, 8.5, 9.1, 9.2, 9.3, 9.4

Math 1324 Review Questions for Test 2 (by Poage) covers sections 8.3, 8.4, 8.5, 9.1, 9.2, 9.3, 9.4 c Dr. Patrice Poage, March 1, 20 1 Math 1324 Review Questions for Test 2 (by Poage) covers sections 8.3, 8.4, 8.5, 9.1, 9.2, 9.3, 9.4 1. A basketball player has a 75% chance of making a free throw. What

More information

INTRODUCTION TO PROBABILITY AND STATISTICS

INTRODUCTION TO PROBABILITY AND STATISTICS INTRODUCTION TO PROBABILITY AND STATISTICS Conditional probability and independent events.. A fair die is tossed twice. Find the probability of getting a 4, 5, or 6 on the first toss and a,,, or 4 on the

More information

Understanding. Probability and Long-Term Expectations. Chapter 16. Copyright 2005 Brooks/Cole, a division of Thomson Learning, Inc.

Understanding. Probability and Long-Term Expectations. Chapter 16. Copyright 2005 Brooks/Cole, a division of Thomson Learning, Inc. Understanding Chapter 16 Probability and Long-Term Expectations Copyright 2005 Brooks/Cole, a division of Thomson Learning, Inc. Thought Question 1: Two very different queries about probability: a. If

More information

Review for Test 2. Chapters 4, 5 and 6

Review for Test 2. Chapters 4, 5 and 6 Review for Test 2 Chapters 4, 5 and 6 1. You roll a fair six-sided die. Find the probability of each event: a. Event A: rolling a 3 1/6 b. Event B: rolling a 7 0 c. Event C: rolling a number less than

More information

MATH 103/GRACEY PRACTICE EXAM/CHAPTERS 2-3. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MATH 103/GRACEY PRACTICE EXAM/CHAPTERS 2-3. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. MATH 3/GRACEY PRACTICE EXAM/CHAPTERS 2-3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) The frequency distribution

More information

e) Compare the distribution of outcomes in your simulation to the probability model.

e) Compare the distribution of outcomes in your simulation to the probability model. 1 Bernoulli Can we use probability models based on Bernoulli trials to investigate the following situations? Explain a) We roll 50 dice to find the distribution of the number of spots on the faces b) How

More information

Stats Review Chapters 5-6

Stats Review Chapters 5-6 Stats Review Chapters 5-6 Created by Teri Johnson Math Coordinator, Mary Stangler Center for Academic Success Examples are taken from Statistics 4 E by Michael Sullivan, III And the corresponding Test

More information

Suppose that RHS is 58% male. What is the probability that the first girl to walk through the front doors is the 6th person? (assume independence)

Suppose that RHS is 58% male. What is the probability that the first girl to walk through the front doors is the 6th person? (assume independence) Problem of the Day Suppose that RHS is 58% male. What is the probability that the first girl to walk through the front doors is the 6th person? (assume independence) Problem of the Day Suppose that RHS

More information

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Math 1342 (Elementary Statistics) Test 2 Review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the indicated probability. 1) If you flip a coin

More information

b. What is the probability of an event that is certain to occur? ANSWER: P(certain to occur) = 1.0

b. What is the probability of an event that is certain to occur? ANSWER: P(certain to occur) = 1.0 MTH 157 Sample Test 2 ANSWERS Student Row Seat M157ST2a Chapters 3 & 4 Dr. Claude S. Moore Score SHOW ALL NECESSARY WORK. Be Neat and Organized. Good Luck. 1. In a statistics class, 12 students own their

More information

**Chance behavior is in the short run but has a regular and predictable pattern in the long run. This is the basis for the idea of probability.

**Chance behavior is in the short run but has a regular and predictable pattern in the long run. This is the basis for the idea of probability. AP Statistics Chapter 5 Notes 5.1 Randomness, Probability,and Simulation In tennis, a coin toss is used to decide which player will serve first. Many other sports use this method because it seems like

More information

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Regular smoker

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Regular smoker Exam Chapters 4&5 Review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) A 28-year-old man pays $181 for a one-year

More information

Chapter 4. Probability Distributions

Chapter 4. Probability Distributions Chapter 4 Probability Distributions Lesson 4-1/4-2 Random Variable Probability Distributions This chapter will deal the construction of probability distribution. By combining the methods of descriptive

More information

Chapter 6: Random Variables

Chapter 6: Random Variables Chapter : Random Variables Section.3 The Practice of Statistics, 4 th edition For AP* STARNES, YATES, MOORE Chapter Random Variables.1 Discrete and Continuous Random Variables.2 Transforming and Combining

More information

6.1. Construct and Interpret Binomial Distributions. p Study probability distributions. Goal VOCABULARY. Your Notes.

6.1. Construct and Interpret Binomial Distributions. p Study probability distributions. Goal VOCABULARY. Your Notes. 6.1 Georgia Performance Standard(s) MM3D1 Your Notes Construct and Interpret Binomial Distributions Goal p Study probability distributions. VOCABULARY Random variable Discrete random variable Continuous

More information

Sample Questions for Mastery #5

Sample Questions for Mastery #5 Name: Class: Date: Sample Questions for Mastery #5 Multiple Choice Identify the choice that best completes the statement or answers the question.. For which of the following binomial experiments could

More information

AP Stats - Probability Review

AP Stats - Probability Review AP Stats - Probability Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. I toss a penny and observe whether it lands heads up or tails up. Suppose

More information

8.5 Probability Distributions; Expected Value

8.5 Probability Distributions; Expected Value Math 07 - Finite Math.5 Probability Distributions; Expected Value In this section, we shall see that the expected value of a probability distribution is a type of average. A probability distribution depends

More information

MATH Exam 3 Review All material covered in class is eligible for exam, this review is not all inclusive.

MATH Exam 3 Review All material covered in class is eligible for exam, this review is not all inclusive. MATH 132 - Exam 3 Review All material covered in class is eligible for exam, this review is not all inclusive. 1. (6.3) A test consists of ten true-or-false questions. If a student randomly chooses answers

More information

In this chapter, we use sample data to make conclusions about the population. Many of these conclusions are based on probabilities of the events.

In this chapter, we use sample data to make conclusions about the population. Many of these conclusions are based on probabilities of the events. Lecture#4 Chapter 4: Probability In this chapter, we use sample data to make conclusions about the population. Many of these conclusions are based on probabilities of the events. 4-2 Fundamentals Definitions:

More information

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Practice for Chapter 9 and 10 The acutal exam differs. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the number of successes x suggested by the

More information

Chapter 6 Continuous Probability Distributions

Chapter 6 Continuous Probability Distributions Continuous Probability Distributions Learning Objectives 1. Understand the difference between how probabilities are computed for discrete and continuous random variables. 2. Know how to compute probability

More information

Conditional Probability and General Multiplication Rule

Conditional Probability and General Multiplication Rule Conditional Probability and General Multiplication Rule Objectives: - Identify Independent and dependent events - Find Probability of independent events - Find Probability of dependent events - Find Conditional

More information

Chapter 8. Hypothesis Testing

Chapter 8. Hypothesis Testing Chapter 8 Hypothesis Testing Hypothesis In statistics, a hypothesis is a claim or statement about a property of a population. A hypothesis test (or test of significance) is a standard procedure for testing

More information

A probability experiment is a chance process that leads to well-defined outcomes. 3) What is the difference between an outcome and an event?

A probability experiment is a chance process that leads to well-defined outcomes. 3) What is the difference between an outcome and an event? Ch 4.2 pg.191~(1-10 all), 12 (a, c, e, g), 13, 14, (a, b, c, d, e, h, i, j), 17, 21, 25, 31, 32. 1) What is a probability experiment? A probability experiment is a chance process that leads to well-defined

More information

III. Famous Discrete Distributions: The Binomial and Poisson Distributions

III. Famous Discrete Distributions: The Binomial and Poisson Distributions III. Famous Discrete Distributions: The Binomial and Poisson Distributions Up to this point, we have concerned ourselves with the general properties of categorical and continuous distributions, illustrated

More information

DO NOT POST THESE ANSWERS ONLINE BFW Publishers Chapter 5

DO NOT POST THESE ANSWERS ONLINE BFW Publishers Chapter 5 Section 5.1 Chapter 5 Check Your Understanding, page 292: 1. (a) If you asked a large sample of U.S. adults whether they usually eat breakfast, about 61% of them will answer yes. (b) In a random sample

More information

6. Let X be a binomial random variable with distribution B(10, 0.6). What is the probability that X equals 8? A) (0.6) (0.4) B) 8! C) 45(0.6) (0.

6. Let X be a binomial random variable with distribution B(10, 0.6). What is the probability that X equals 8? A) (0.6) (0.4) B) 8! C) 45(0.6) (0. Name: Date:. For each of the following scenarios, determine the appropriate distribution for the random variable X. A) A fair die is rolled seven times. Let X = the number of times we see an even number.

More information

Exam. Name. Find the number of subsets of the set. 1) {x x is an even number between 11 and 31} 2) {-13, 0, 13, 14, 15}

Exam. Name. Find the number of subsets of the set. 1) {x x is an even number between 11 and 31} 2) {-13, 0, 13, 14, 15} Exam Name Find the number of subsets of the set. 1) {x x is an even number between 11 and 31} 2) {-13, 0, 13, 1, 15} Let A = 6,, 1, 3, 0, 8, 9. Determine whether the statement is true or false. 3) 9 A

More information

Math 166:505 Fall 2013 Exam 2 - Version A

Math 166:505 Fall 2013 Exam 2 - Version A Name Math 166:505 Fall 2013 Exam 2 - Version A On my honor, as an Aggie, I have neither given nor received unauthorized aid on this academic work. Signature: Instructions: Part I and II are multiple choice

More information

Section 5.1 Randomness, Probability, and Simulation. The Idea of Probability

Section 5.1 Randomness, Probability, and Simulation. The Idea of Probability Section 5.1 Randomness, Probability, and Simulation The Idea of Probability Chance behavior is unpredictable in the short run, but has a regular and predictable pattern in the long run. The says that if

More information

PROBABILITY SECOND EDITION

PROBABILITY SECOND EDITION PROBABILITY SECOND EDITION Table of Contents How to Use This Series........................................... v Foreword..................................................... vi Basics 1. Probability All

More information

Mind on Statistics. Chapter 8

Mind on Statistics. Chapter 8 Mind on Statistics Chapter 8 Sections 8.1-8.2 Questions 1 to 4: For each situation, decide if the random variable described is a discrete random variable or a continuous random variable. 1. Random variable

More information

5.1.1 The Idea of Probability

5.1.1 The Idea of Probability 5.1.1 The Idea of Probability Chance behavior is unpredictable in the short run but has a regular and predictable pattern in the long run. This remarkable fact is the basis for the idea of probability.

More information

Chapter 4 Probability

Chapter 4 Probability The Big Picture of Statistics Chapter 4 Probability Section 4-2: Fundamentals Section 4-3: Addition Rule Sections 4-4, 4-5: Multiplication Rule Section 4-7: Counting (next time) 2 What is probability?

More information

Find the indicated probability. 1) If a single fair die is rolled, find the probability of a 4 given that the number rolled is odd.

Find the indicated probability. 1) If a single fair die is rolled, find the probability of a 4 given that the number rolled is odd. Math 0 Practice Test 3 Fall 2009 Covers 7.5, 8.-8.3 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated probability. ) If a single

More information

Ch. 2.3, 2.4 Quiz/Test Review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Ch. 2.3, 2.4 Quiz/Test Review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Ch. 2.3, 2.4 Quiz/Test Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. 1) Find the mean, median, and mode of the following

More information

The statistics of a particular basketball player state that he makes 4 out of 5 free-throw attempts.

The statistics of a particular basketball player state that he makes 4 out of 5 free-throw attempts. Name: Date: Use the following to answer question 1: The statistics of a particular basketball player state that he makes 4 out of 5 free-throw attempts. 1. The basketball player is just about to attempt

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Practice Test Chapter 9 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the odds. ) Two dice are rolled. What are the odds against a sum

More information

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Ch. 1 Introduction to Statistics 1.1 An Overview of Statistics 1 Distinguish Between a Population and a Sample Identify the population and the sample. survey of 1353 American households found that 18%

More information

Review the following from Chapter 5

Review the following from Chapter 5 Bluman, Chapter 6 1 Review the following from Chapter 5 A surgical procedure has an 85% chance of success and a doctor performs the procedure on 10 patients, find the following: a) The probability that

More information

Number of observations is fixed. Independent observations --- knowledge of the outcomes of earlier trials does not affect the

Number of observations is fixed. Independent observations --- knowledge of the outcomes of earlier trials does not affect the Binomial Probability Frequently used in analyzing and setting up surveys Our interest is in a binomial random variable X, which is the count of successes in n trials. The probability distribution of X

More information

Math 118 Study Guide. This study guide is for practice only. The actual question on the final exam may be different.

Math 118 Study Guide. This study guide is for practice only. The actual question on the final exam may be different. Math 118 Study Guide This study guide is for practice only. The actual question on the final exam may be different. Convert the symbolic compound statement into words. 1) p represents the statement "It's

More information

Binomial Distribution

Binomial Distribution Introductory Statistics Lectures Binomial Distribution Finding the probability of successes in n trials. Department of Mathematics Pima Community College Redistribution of this material is prohibited without

More information

ProbabilityDistributions

ProbabilityDistributions 1 5 ProbabilityDistributions. 5.1 Probability Distributions for Discrete Variables A probability distribution for a random variable summarizes or models the probabilities associated with the events for

More information

Discrete Random Variables and their Probability Distributions

Discrete Random Variables and their Probability Distributions CHAPTER 5 Discrete Random Variables and their Probability Distributions CHAPTER OUTLINE 5.1 Probability Distribution of a Discrete Random Variable 5.2 Mean and Standard Deviation of a Discrete Random Variable

More information

Sales Price

Sales Price Stat 213 Review Questions Note: Just because a topic is not on the review, does not mean that it will not be on the final. Review all the tests, labs, assignments and class notes. 1. A psychologist wished

More information

AP * Statistics Review. Probability

AP * Statistics Review. Probability AP * Statistics Review Probability Teacher Packet Advanced Placement and AP are registered trademark of the College Entrance Examination Board. The College Board was not involved in the production of,

More information

ACTM Regional Statistics Multiple Choice Questions

ACTM Regional Statistics Multiple Choice Questions ACTM Regional Statistics Multiple Choice Questions This exam includes 2 multiple- choice items and three constructed- response items that may be used as tie- breakers. Record your answer to each of the

More information

MATHEMATICS FOR ENGINEERS STATISTICS TUTORIAL 4 PROBABILITY DISTRIBUTIONS

MATHEMATICS FOR ENGINEERS STATISTICS TUTORIAL 4 PROBABILITY DISTRIBUTIONS MATHEMATICS FOR ENGINEERS STATISTICS TUTORIAL 4 PROBABILITY DISTRIBUTIONS CONTENTS Sample Space Accumulative Probability Probability Distributions Binomial Distribution Normal Distribution Poisson Distribution

More information

Assn , 8.5. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Assn , 8.5. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Assn 8.-8.3, 8.5 Name List the outcomes of the sample space. ) There are 3 balls in a hat; one with the number on it, one with the number 6 on it, and one with the number 8 on it. You pick a ball from

More information

Mind on Statistics. Chapter 12

Mind on Statistics. Chapter 12 Mind on Statistics Chapter 12 Sections 12.1 Questions 1 to 6: For each statement, determine if the statement is a typical null hypothesis (H 0 ) or alternative hypothesis (H a ). 1. There is no difference

More information

STATISTICS 8: CHAPTERS 7 TO 10, SAMPLE MULTIPLE CHOICE QUESTIONS

STATISTICS 8: CHAPTERS 7 TO 10, SAMPLE MULTIPLE CHOICE QUESTIONS STATISTICS 8: CHAPTERS 7 TO 10, SAMPLE MULTIPLE CHOICE QUESTIONS 1. If two events (both with probability greater than 0) are mutually exclusive, then: A. They also must be independent. B. They also could

More information

Distributions. and Probability. Find the sample space of an experiment. Find the probability of an event. Sample Space of an Experiment

Distributions. and Probability. Find the sample space of an experiment. Find the probability of an event. Sample Space of an Experiment C Probability and Probability Distributions APPENDIX C.1 Probability A1 C.1 Probability Find the sample space of an experiment. Find the probability of an event. Sample Space of an Experiment When assigning

More information

Practice Questions Chapter 4 & 5

Practice Questions Chapter 4 & 5 Practice Questions Chapter 4 & 5 Use the following to answer questions 1-3: Ignoring twins and other multiple births, assume babies born at a hospital are independent events with the probability that a

More information

What is the probability of throwing a fair die and receiving a six? Introduction to Probability. Basic Concepts

What is the probability of throwing a fair die and receiving a six? Introduction to Probability. Basic Concepts Basic Concepts Introduction to Probability A probability experiment is any experiment whose outcomes relies purely on chance (e.g. throwing a die). It has several possible outcomes, collectively called

More information

Mind on Statistics. Chapter 10

Mind on Statistics. Chapter 10 Mind on Statistics Chapter 10 Section 10.1 Questions 1 to 4: Some statistical procedures move from population to sample; some move from sample to population. For each of the following procedures, determine

More information

The Casino Lab STATION 1: CRAPS

The Casino Lab STATION 1: CRAPS The Casino Lab Casinos rely on the laws of probability and expected values of random variables to guarantee them profits on a daily basis. Some individuals will walk away very wealthy, while others will

More information

AP Stats Fall Final Review Ch. 5, 6

AP Stats Fall Final Review Ch. 5, 6 AP Stats Fall Final Review 2015 - Ch. 5, 6 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. I toss a penny and observe whether it lands heads up or tails

More information

STAT 311 (Spring 2016) Worksheet W10M: Geometric due: 3/28

STAT 311 (Spring 2016) Worksheet W10M: Geometric due: 3/28 Name: Group 1) Suppose that we roll a 20-sided die until a '1' is rolled. Let X be the number of times it takes to roll the '1'. a) Why is this a geometric distribution? b) What is the PMF of X? c) What

More information

Binomial random variables (Review)

Binomial random variables (Review) Poisson / Empirical Rule Approximations / Hypergeometric Solutions STAT-UB.3 Statistics for Business Control and Regression Models Binomial random variables (Review. Suppose that you are rolling a die

More information

Statistics 1040 Summer 2009 Exam III NAME. Point score Curved Score

Statistics 1040 Summer 2009 Exam III NAME. Point score Curved Score Statistics 1040 Summer 2009 Exam III NAME Point score Curved Score Each question is worth 10 points. There are 12 questions, so a total of 120 points is possible. No credit will be given unless your answer

More information

Elementary Statistics

Elementary Statistics Elementary Statistics Chapter 1 Dr. Ghamsary Page 1 Elementary Statistics M. Ghamsary, Ph.D. Chap 01 1 Elementary Statistics Chapter 1 Dr. Ghamsary Page 2 Statistics: Statistics is the science of collecting,

More information

Chapter 6 Discrete Probability Distributions

Chapter 6 Discrete Probability Distributions Chapter 6 Discrete Probability Distributions 40. From recent experience, 5 percent of the computer keyboards produced by an automatic, high-speed machine are defective. What is the probability that out

More information

Chapter 8 Hypothesis Testing Chapter 8 Hypothesis Testing 8-1 Overview 8-2 Basics of Hypothesis Testing

Chapter 8 Hypothesis Testing Chapter 8 Hypothesis Testing 8-1 Overview 8-2 Basics of Hypothesis Testing Chapter 8 Hypothesis Testing 1 Chapter 8 Hypothesis Testing 8-1 Overview 8-2 Basics of Hypothesis Testing 8-3 Testing a Claim About a Proportion 8-5 Testing a Claim About a Mean: s Not Known 8-6 Testing

More information