# STT 315 Practice Problems II for Sections

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 STT 315 Practice Problems II for Sections MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) Classify the following random variable according to whether it is discrete or continuous. The temperature in degrees Fahrenheit on July 4th in Juneau, Alaska A) continuous B) discrete 2) Classify the following random variable according to whether it is discrete or continuous. The number of goals scored in a soccer game A) discrete B) continuous 3) Classify the following random variable according to whether it 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 4) A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. Its probability distribution is shown below. Find the probability for the value of x = 5. 1) 2) 3) 4) x p(x) ??? A) 0.2 B) 0.3 C) 0.1 D) 0.7 5) The Fresh Oven Bakery knows that the number of pies it can sell varies from day to day. The owner believes that on 50% of the days she sells 100 pies. On another 25% of the days she sells 150 pies, and she sells 200 pies on the remaining 25% of the days. To make sure she has enough product, the owner bakes 200 pies each day at a cost of \$2 each. Assume any pies that go unsold are thrown out at the end of the day. If she sells the pies for \$5 each, find the probability distribution for her daily profit. A) B) Profit P(profit) Profit P(profit) \$300.5 \$ \$ C) Profit P(profit) \$100.5 \$ \$ \$300.5 \$ \$ D) Profit P(profit) \$500.5 \$ \$ ) Consider the given discrete probability distribution. Find P(x > 3). 5) 6) x p(x) A).7 B).5 C).2 D).3 1

2 7) Consider the given discrete probability distribution. Find P(x 4). 7) x p(x) A).95 B).05 C).10 D).90 8) Mamma Temte bakes six pies each day at a cost of \$2 each. On 11% of the days she sells only two pies. On 17% of the days, she sells 4 pies, and on the remaining 72% of the days, she sells all six pies. If Mama Temte sells her pies for \$4 each, what is her expected profit for a day's worth of pies? [Assume that any leftover pies are given away.] A) -\$8.00 B) -\$6.78 C) \$20.88 D) \$8.88 9) A local bakery has determined a probability distribution for the number of cheesecakes it sells in a given day. The distribution is as follows: 8) 9) Number sold in a day Prob (Number sold) Find the number of cheesecakes that this local bakery expects to sell in a day. A) 14.1 B) 10 C) D) 20 10) Calculate the mean for the discrete probability distribution shown here. 10) X P(X) A) 6.5 B) 8.04 C) 2.01 D) 26 11) A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. Its probability distribution is shown below. Find the standard deviation of the distribution. 11) x p(x) A) 5.7 B) C) 6.41 D) ) Which binomial probability is represented on the screen below? 12) A) P(x 4) B) P(x > 4) C) P(x < 4) D) P(x = 4) 2

3 13) We believe that 95% of the population of all Business Statistics students consider statistics to be an exciting subject. Suppose we randomly and independently selected 21 students from the population. If the true percentage is really 95%, find the probability of observing 20 or more students who consider statistics to be an exciting subject. Round to six decimal places. A) B) C) D) ) A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters were randomly selected from the population of all eligible voters. Use a binomial probability table to find the probability that more than 12 of the eligible voters sampled will vote in the next presidential election. A) B) C) D) E) ) A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters were randomly selected from the population of all eligible voters. Use a binomial probability table to find the probability that more than 10 but fewer than 16 of the 20 eligible voters sampled will vote in the next presidential election. A) B) C) D) ) It a recent study of college students indicated that 30% of all college students had at least one tattoo. A small private college decided to randomly and independently sample 15 of their students and ask if they have a tattoo. Use a binomial probability table to find the probability that exactly 5 of the students reported that they did have at least one tattoo. A) B) C) D) ) The probability that an individual is left-handed is In a class of 70 students, what is the mean and standard deviation of the number of left-handed students? Round to the nearest hundredth when necessary. A) mean: 70; standard deviation: 3.02 B) mean: 9.1; standard deviation: 3.02 C) mean: 9.1; standard deviation: 2.81 D) mean: 70; standard deviation: ) The number of traffic accidents that occur on a particular stretch of road during a month follows a Poisson distribution with a mean of 8.8. Find the probability that fewer than three accidents will occur next month on this stretch of road. A) B) C) D) ) The number of traffic accidents that occur on a particular stretch of road during a month follows a Poisson distribution with a mean of 8.9. Find the probability of observing exactly four accidents on this stretch of road next month. A) B) C) D) ) The university police department must write, on average, five tickets per day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of 8.9. Find the probability that exactly four tickets are written on a randomly selected day. A) B) C) D) ) The number of goals scored at each game by a certain hockey team follows a Poisson distribution with a mean of 5 goals per game. Find the probability that the team will score more than three goals during a game. A) B) C) D) ) 14) 15) 16) 17) 18) 19) 20) 21) 3

4 22) The number of goals scored at each game by a certain hockey team follows a Poisson distribution with a mean of 5 goals per game. Find the probability that the team scored exactly three goals in each of four randomly selected games. A) B) C) D) ) An alarm company reports that the number of alarms sent to their monitoring center from customers owning their system follow a Poisson distribution with = 4.7 alarms per year. Identify the mean and standard deviation for this distribution. A) mean = 2.17, standard Deviation = 2.17 B) mean = 4.7, standard Deviation = 2.17 C) mean = 2.17, standard Deviation = 4.7 D) mean = 4.7, standard Deviation = ) 23) 24) Given that x is a hypergeometric random variable, compute p(x) for N = 6, n = 3, r = 3, and x = 1. 24) A).125 B).375 C).45 D).55 25) Given that x is a hypergeometric random variable, compute p(x) for N = 8, n = 5, r = 3, and x = 2. 25) A).536 B).343 C).140 D) ) Suppose the candidate pool for two appointed positions includes 6 women and 9 men. All candidates were told that the positions were randomly filled. Find the probability that two men are selected to fill the appointed positions. A).160 B).343 C).360 D) ) Suppose a man has ordered twelve 1-gallon paint cans of a particular color (lilac) from the local paint store in order to paint his mother's house. Unknown to the man, three of these cans contains an incorrect mix of paint. For this weekend's big project, the man randomly selects four of these 1-gallon cans to paint his mother's living room. Let x = the number of the paint cans selected that are defective. Unknown to the man, x follows a hypergeometric distribution. Find the probability that at least one of the four cans selected contains an incorrect mix of paint. A) B) C) D) ) 27) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 28) You randomly select 7 students from a class with 15 male and 20 female students. What is the probability that you will choose exactly 4 females? 28) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer the question True or False. 29) For a continuous probability distribution, the probability that x is between a and b is the same regardless of whether or not you include the endpoints, a and b, of the interval. A) True B) False 29) Solve the problem. 30) Use the standard normal distribution to find P(-2.25 < z < 1.25). 30) A).8821 B).8944 C).4878 D) ) Use the standard normal distribution to find P(z < or z > 2.33). 31) A).7888 B).9809 C).0606 D)

5 32) Find a value of the standard normal random variable z, called z0, such that P(-z0 z z0) = ) A) 1.96 B) C) 2.33 D).99 33) Find a value of the standard normal random variable z, called z0, such that P(z z0) = ) A) -.47 B) -.53 C) -.81 D) ) For a standard normal random variable, find the probability that z exceeds the value ) A) B) C) D) ) For a standard normal random variable, find the point in the distribution in which 11.9% of the z-values fall below. A) 1.18 B) C) D) ) A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 40 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 358 seconds. A).4893 B).0107 C).5107 D) ) A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 470 seconds and a standard deviation of 60 seconds. The fitness association wants to recognize the fastest 10% of the boys with certificates of recognition. What time would the boys need to beat in order to earn a certificate of recognition from the fitness association? A) seconds B) seconds C) seconds D) seconds 38) A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 440 seconds and a standard deviation of 60 seconds. Between what times do we expect approximately 95% of the boys to run the mile? A) between and seconds B) between 0 and seconds C) between and seconds D) between 345 and 535 seconds 39) The volume of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of ounces and a standard deviation of 0.20 ounce. The company receives complaints from consumers who actually measure the amount of soda in the cans and claim that the volume is less than the advertised 12 ounces. What proportion of the soda cans contain less than the advertised 12 ounces of soda? A).4332 B).5668 C).0668 D) ) The weight of corn chips dispensed into a 48-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 48.5 ounces and a standard deviation of 0.2 ounce. What proportion of the 48-ounce bags contain more than the advertised 48 ounces of chips? A).4938 B).9938 C).5062 D) ) 36) 37) 38) 39) 40) 5

6 41) The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of ounces and a standard deviation of 0.20 ounce. Each can holds a maximum of ounces of soda. Every can that has more than ounces of soda poured into it causes a spill and the can must go through a special cleaning process before it can be sold. What is the probability that a randomly selected can will need to go through this process? A).3413 B).6587 C).8413 D) ) Before a new phone system was installed, the amount a company spent on personal calls followed a normal distribution with an average of \$900 per month and a standard deviation of \$50 per month. Refer to such expenses as PCE's (personal call expenses). Using the distribution above, what is the probability that during a randomly selected month PCE's were between \$ and \$990.00? A).0001 B).9579 C).0421 D) ) 42) 43) Which of the following statements is not a property of the normal curve? 43) A) P(µ - < x < µ + ).95 B) mound-shaped (or bell shaped) C) symmetric about µ D) P(µ - 3 < x < µ + 3 ) ) Which one of the following suggests that the data set is not approximately normal? 44) A) B) A data set with 68% of the measurements within x ± 2s. C) A data set with IQR = 752 and s = 574. D) Stem Leaves

7 45) Data has been collected and a normal probability plot for one of the variables is shown below. Based on your knowledge of normal probability plots, do you believe the variable in question is normally distributed? The data are represented by the"o" symbols in the plot. 45) A) No. The plot does not reveal a straight line and this indicates the variable is not normally distributed. B) Yes. The plot reveals a curve and this indicates the variable is normally distributed. C) Yes. The plot reveals a straight line and this indicates the variable is normally distributed. Find the probability. 46) Suppose x is a random variable best described by a uniform probability distribution with c = 30 and d = 90. Find P(30 x 60). A) 0.5 B) 0.6 C) 0.3 D) ) Suppose x is a random variable best described by a uniform probability distribution with c = 20 and d = 40. Find P(x < 30). A) 0.6 B) 0.5 C) 0.05 D) ) Suppose x is a random variable best described by a uniform probability distribution with c = 10 and d = 70. Find P(x > 55). A) 0.15 B) C) 0.75 D) ) 47) 48) Solve the problem. 49) A machine is set to pump cleanser into a process at the rate of 7 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 6.5 to 9.5 gallons per minute. Find the probability that between 7.0 gallons and 8.0 gallons are pumped during a randomly selected minute. A) 0 B) 1 C) 0.33 D) ) 7

8 50) The diameters of ball bearings produced in a manufacturing process can be described using a uniform distribution over the interval 2.5 to 4.5 millimeters. What is the mean diameter of ball bearings produced in this manufacturing process? A) 3.5 millimeters B) 3.0 millimeters C) 4.5 millimeters D) 4.0 millimeters 50) 51) Suppose x is a uniform random variable with c = 20 and d = 90. Find the standard deviation of x. 51) A) = B) = 3.03 C) = D) = ) The diameters of ball bearings produced in a manufacturing process can be described using a uniform distribution over the interval 8.5 to 10.5 millimeters. Any ball bearing with a diameter of over millimeters or under 8.75 millimeters is considered defective. What is the probability that a randomly selected ball bearing is defective? A) 0 B).25 C).75 D).50 53) A machine is set to pump cleanser into a process at the rate of 10 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 9.5 to 12.5 gallons per minute. What is the probability that at the time the machine is checked it is pumping more than 11.0 gallons per minute? A).667 B).7692 C).25 D).50 54) A machine is set to pump cleanser into a process at the rate of 6 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 5.5 to 9.5 gallons per minute. Find the variance of the distribution. A) 1.33 B) C) 3.00 D) ) The time between customer arrivals at a furniture store has an approximate exponential distribution with mean = 8.5 minutes. If a customer just arrived, find the probability that the next customer will arrive in the next 5 minutes. A) B) C) D) ) The time between customer arrivals at a furniture store has an approximate exponential distribution with mean = 8.5 minutes. If a customer just arrived, find the probability that the next customer will not arrive for at least 20 minutes. A) B) C) D) ) The time (in years) until the first critical-part failure for a certain car is exponentially distributed with a mean of 3.4 years. Find the probability that the time until the first critical-part failure is 5 years or more. A) B) C) D) ) The time (in years) until the first critical-part failure for a certain car is exponentially distributed with a mean of 3.4 years. Find the probability that the time until the first critical-part failure is less than 1 year. A) B) C) D) ) The time between arrivals at an ATM machine follows an exponential distribution with = 10 minutes. Find the probability that between 15 and 25 minutes will pass between arrivals. A) B) C) D) ) 53) 54) 55) 56) 57) 58) 59) 8

9 Answer the question True or False. 60) The probability density function for an exponential random variable x has a graph called a bell curve. A) True B) False 60) 61) The exponential distribution has the property that its mean equals its standard deviation. 61) A) True B) False Solve the problem. 62) Suppose that the random variable x has an exponential distribution with = 1.5. Find the probability that x will assume a value within the interval µ ± 2. A) B) C) D) ) The time between arrivals at an ATM machine follows an exponential distribution with = 10 minutes. Find the mean and standard deviation of this distribution. A) Mean = 10, Standard Deviation = 3.16 B) Mean = 3.16, Standard Deviation = 3.16 C) Mean = 10, Standard Deviation = 100 D) Mean = 10, Standard Deviation = 10 62) 63) 9

10 Answer Key Testname: PRACTICE ) A 2) A 3) B 4) B 5) C 6) B 7) A 8) D 9) A 10) B 11) B 12) A 13) B 14) C 15) C 16) C 17) C 18) D 19) A 20) D 21) A 22) A 23) B 24) C 25) A 26) B 27) A 28) P(x = 0) = ) B 48) D 49) C 50) A 51) C 52) B 53) D 54) A 55) B 56) B 57) D 58) C 59) A 60) B 61) A 62) D 63) D 29) A 30) A 31) D 32) C 33) B 34) A 35) B 36) B 37) C 38) C 39) C 40) B 41) D 42) B 43) A 44) B 45) A 46) A 10

### Chapter 5 Review The Normal Probability and Standardization

Chapter 5 Review The Normal Probability and Standardization MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) Approximately

### 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

### 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

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

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.

### Multiple Choice Questions

Multiple Choice Questions 1. A fast- food restaurant chain with 700 outlets in the United States describes the geographic location of its restaurants with the accompanying table of percentages. A restaurant

### 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.

### 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

### Binomial Distribution Problems. Binomial Distribution SOLUTIONS. Poisson Distribution Problems

1 Binomial Distribution Problems (1) A company owns 400 laptops. Each laptop has an 8% probability of not working. You randomly select 20 laptops for your salespeople. (a) What is the likelihood that 5

### 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

### Stats Review chapters 7-8

Stats Review chapters 7-8 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

### 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

### Prob & Stats. Chapter 9 Review

Chapter 9 Review Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally

### 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

### 1) What is the probability that the random variable has a value greater than 2? A) 0.750 B) 0.625 C) 0.875 D) 0.700

Practice for Chapter 6 & 7 Math 227 This is merely an aid to help you study. The actual exam is not multiple choice nor is it limited to these types of questions. Using the following uniform density curve,

### University of California, Los Angeles Department of Statistics. Normal distribution

University of California, Los Angeles Department of Statistics Statistics 100A Instructor: Nicolas Christou Normal distribution The normal distribution is the most important distribution. It describes

### 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

### 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

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

STATISTICS/GRACEY EXAM 3 PRACTICE/CH. 8-9 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the P-value for the indicated hypothesis test. 1) A

### STT315 Chapter 4 Random Variables & Probability Distributions KM. Chapter 4.5, 6, 8 Probability Distributions for Continuous Random Variables

Chapter 4.5, 6, 8 Probability Distributions for Continuous Random Variables Discrete vs. continuous random variables Examples of continuous distributions o Uniform o Exponential o Normal Recall: A random

### 10-5 The Normal Distribution

A normal distribution has a mean of 416 and a standard deviation of 55. 1. Find the range of values that represent the middle 99.7% of the distribution. The middle 99.7% of data in a normal distribution

### Margin of Error When Estimating a Population Proportion

Margin of Error When Estimating a Population Proportion Student Outcomes Students use data from a random sample to estimate a population proportion. Students calculate and interpret margin of error in

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

STT315 Practice Ch 5-7 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) The length of time a traffic signal stays green (nicknamed

### CHAPTER 6: Continuous Uniform Distribution: 6.1. Definition: The density function of the continuous random variable X on the interval [A, B] is.

Some Continuous Probability Distributions CHAPTER 6: Continuous Uniform Distribution: 6. Definition: The density function of the continuous random variable X on the interval [A, B] is B A A x B f(x; A,

### Important Probability Distributions OPRE 6301

Important Probability Distributions OPRE 6301 Important Distributions... Certain probability distributions occur with such regularity in real-life applications that they have been given their own names.

### STT 315 Practice Problems I for Sections

STT 35 Practice Problems I for Sections. - 3.7. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. ) Parking at a university has become

### 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

### Statistics Final Exam Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Statistics Final Exam Review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Assume that X has a normal distribution, and find the indicated

### Math 140 (4,5,6) Sample Exam II Fall 2011

Math 140 (4,5,6) Sample Exam II Fall 2011 Provide an appropriate response. 1) In a sample of 10 randomly selected employees, it was found that their mean height was 63.4 inches. From previous studies,

### AP STATISTICS 2010 SCORING GUIDELINES

2010 SCORING GUIDELINES Question 4 Intent of Question The primary goals of this question were to (1) assess students ability to calculate an expected value and a standard deviation; (2) recognize the applicability

### 6.1 Graphs of Normal Probability Distributions. Normal Curve aka Probability Density Function

Normal Distributions (Page 1 of 23) 6.1 Graphs of Normal Probability Distributions Normal Curve aka Probability Density Function Normal Probability Distribution TP TP µ! " µ µ +! x x-axis Important Properties

### 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:

### 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

### Practice#1(chapter1,2) Name

Practice#1(chapter1,2) Name Solve the problem. 1) The average age of the students in a statistics class is 22 years. Does this statement describe descriptive or inferential statistics? A) inferential statistics

### 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. 1) If two events are mutually exclusive, what is the probability that one or the other occurs? A)

### 4.4 Other Discrete Distribution: Poisson and Hypergeometric S

4.4 Other Discrete Distribution: Poisson and Hypergeometric S S time, area, volume, length Characteristics of a Poisson Random Variable 1. The experiment consists of counting the number of times x that

### 5) The table below describes the smoking habits of a group of asthma sufferers. two way table ( ( cell cell ) (cell cell) (cell cell) )

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine which score corresponds to the higher relative position. 1) Which score has a better relative

### Lesson 17: Margin of Error When Estimating a Population Proportion

Margin of Error When Estimating a Population Proportion Classwork In this lesson, you will find and interpret the standard deviation of a simulated distribution for a sample proportion and use this information

### p1^ = 0.18 p2^ = 0.12 A) 0.150 B) 0.387 C) 0.300 D) 0.188 3) n 1 = 570 n 2 = 1992 x 1 = 143 x 2 = 550 A) 0.270 B) 0.541 C) 0.520 D) 0.

Practice for chapter 9 and 10 Disclaimer: the actual exam does not mirror this. This is meant for practicing questions only. The actual exam in not multiple choice. Find the number of successes x suggested

### 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

### 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.

### 13.2 Measures of Central Tendency

13.2 Measures of Central Tendency Measures of Central Tendency For a given set of numbers, it may be desirable to have a single number to serve as a kind of representative value around which all the numbers

### CHAPTER 7 SECTION 5: RANDOM VARIABLES AND DISCRETE PROBABILITY DISTRIBUTIONS

CHAPTER 7 SECTION 5: RANDOM VARIABLES AND DISCRETE PROBABILITY DISTRIBUTIONS TRUE/FALSE 235. The Poisson probability distribution is a continuous probability distribution. F 236. In a Poisson distribution,

### 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

### Introduction to the Practice of Statistics Fifth Edition Moore, McCabe

Introduction to the Practice of Statistics Fifth Edition Moore, McCabe Section 5.2 Homework Answers 5.29 An automatic grinding machine in an auto parts plant prepares axles with a target diameter µ = 40.125

### 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

### An Introduction to Statistics Course (ECOE 1302) Spring Semester 2011 Chapter 7 - Sampling and Sampling Distributions

The Islamic University of Gaza Faculty of Commerce Department of Economics and Political Sciences An Introduction to Statistics Course (ECOE 1302) Spring Semester 2011 Chapter 7 - Sampling and Sampling

### Chapter 5. Section 5.1: Central Tendency. Mode: the number or numbers that occur most often. Median: the number at the midpoint of a ranked data.

Chapter 5 Section 5.1: Central Tendency Mode: the number or numbers that occur most often. Median: the number at the midpoint of a ranked data. Example 1: The test scores for a test were: 78, 81, 82, 76,

### 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

### Construct a scatterplot for the given data. 2) x Answer:

Review for Test 5 STA 2023 spr 2014 Name Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents

### Notes on Continuous Random Variables

Notes on Continuous Random Variables Continuous random variables are random quantities that are measured on a continuous scale. They can usually take on any value over some interval, which distinguishes

### Section 7.2 Confidence Intervals for Population Proportions

Section 7.2 Confidence Intervals for Population Proportions 2012 Pearson Education, Inc. All rights reserved. 1 of 83 Section 7.2 Objectives Find a point estimate for the population proportion Construct

### CHAPTER 7: THE CENTRAL LIMIT THEOREM

CHAPTER 7: THE CENTRAL LIMIT THEOREM Exercise 1. Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews

### the number of organisms in the squares of a haemocytometer? the number of goals scored by a football team in a match?

Poisson Random Variables (Rees: 6.8 6.14) Examples: What is the distribution of: the number of organisms in the squares of a haemocytometer? the number of hits on a web site in one hour? the number of

### Density Curve. A density curve is the graph of a continuous probability distribution. It must satisfy the following properties:

Density Curve A density curve is the graph of a continuous probability distribution. It must satisfy the following properties: 1. The total area under the curve must equal 1. 2. Every point on the curve

### The Math. P (x) = 5! = 1 2 3 4 5 = 120.

The Math Suppose there are n experiments, and the probability that someone gets the right answer on any given experiment is p. So in the first example above, n = 5 and p = 0.2. Let X be the number of correct

### Probability Distributions

Learning Objectives Probability Distributions Section 1: How Can We Summarize Possible Outcomes and Their Probabilities? 1. Random variable 2. Probability distributions for discrete random variables 3.

### 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

### 1) What is the probability that the random variable has a value greater than 2? 1) A) B) C) D) 0.750

ch6apractest Using the following uniform density curve, answer the question. 1) What is the probability that the random variable has a value greater than 2? 1) A) 0.625 B) 0.875 C) 0.700 D) 0.750 2) What

### DEPARTMENT OF QUANTITATIVE METHODS & INFORMATION SYSTEMS QM 120. Continuous Probability Distribution

DEPARTMENT OF QUANTITATIVE METHODS & INFORMATION SYSTEMS Introduction to Business Statistics QM 120 Chapter 6 Spring 2008 Dr. Mohammad Zainal Continuous Probability Distribution 2 When a RV x is discrete,

### 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.

### Tree Diagrams. on time. The man. by subway. From above tree diagram, we can get

1 Tree Diagrams Example: A man takes either a bus or the subway to work with probabilities 0.3 and 0.7, respectively. When he takes the bus, he is late 30% of the days. When he takes the subway, he is

### The Normal Curve. The Normal Curve and The Sampling Distribution

Discrete vs Continuous Data The Normal Curve and The Sampling Distribution We have seen examples of probability distributions for discrete variables X, such as the binomial distribution. We could use it

### 7. Normal Distributions

7. Normal Distributions A. Introduction B. History C. Areas of Normal Distributions D. Standard Normal E. Exercises Most of the statistical analyses presented in this book are based on the bell-shaped

### Normal and Binomial. Distributions

Normal and Binomial Distributions Library, Teaching and Learning 14 By now, you know about averages means in particular and are familiar with words like data, standard deviation, variance, probability,

### Section 8.5 -Round answers to four decimal places.

This last WIR is based on homework problems. Section 8.5 -Round answers to four decimal places. 1. a. Choose a sketch of the area under the standard normal curve corresponding to P(0.6 < Z < 1.8). a. b.

### Hypothesis Tests for a Population Proportion

Hypothesis Tests for a Population Proportion MATH 130, Elements of Statistics I J. Robert Buchanan Department of Mathematics Fall 2015 Review: Steps of Hypothesis Testing 1. A statement is made regarding

### 4) The role of the sample mean in a confidence interval estimate for the population mean is to: 4)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Assume that the change in daily closing prices for stocks on the New York Stock Exchange is a random

### 1. A survey of a group s viewing habits over the last year revealed the following

1. A survey of a group s viewing habits over the last year revealed the following information: (i) 8% watched gymnastics (ii) 9% watched baseball (iii) 19% watched soccer (iv) 14% watched gymnastics and

### Some special discrete probability distributions

University of California, Los Angeles Department of Statistics Statistics 100A Instructor: Nicolas Christou Some special discrete probability distributions Bernoulli random variable: It is a variable that

### 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

### Measuring the Power of a Test

Textbook Reference: Chapter 9.5 Measuring the Power of a Test An economic problem motivates the statement of a null and alternative hypothesis. For a numeric data set, a decision rule can lead to the rejection

### 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

### MT426 Notebook 3 Fall 2012 prepared by Professor Jenny Baglivo. 3 MT426 Notebook 3 3. 3.1 Definitions... 3. 3.2 Joint Discrete Distributions...

MT426 Notebook 3 Fall 2012 prepared by Professor Jenny Baglivo c Copyright 2004-2012 by Jenny A. Baglivo. All Rights Reserved. Contents 3 MT426 Notebook 3 3 3.1 Definitions............................................

### Chapter 3 - Practice Problems 1

Chapter 3 - Practice Problems 1 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) The two most frequently used measures

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

Sample Final Exam Spring 2008 DeMaio Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the given degree of confidence and sample data to construct

### 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

### Chapter 9: Hypothesis Tests of a Single Population

Chapter 9: Hypothesis Tests of a Single Population Department of Mathematics Izmir University of Economics Week 12 2014-2015 Introduction In this chapter we will focus on Example developing hypothesis

### 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

### 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

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

Exam Name 1) A recent report stated ʺBased on a sample of 90 truck drivers, there is evidence to indicate that, on average, independent truck drivers earn more than company -hired truck drivers.ʺ Does

### Random Variables and Their Expected Values

Discrete and Continuous Random Variables The Probability Mass Function The (Cumulative) Distribution Function Discrete and Continuous Random Variables The Probability Mass Function The (Cumulative) Distribution

### Math Chapter 2 review

Math 116 - Chapter 2 review Name Provide an appropriate response. 1) Suppose that a data set has a minimum value of 28 and a max of 73 and that you want 5 classes. Explain how to find the class width for

### ACTM State Exam-Statistics

ACTM State Exam-Statistics For the 25 multiple-choice questions, make your answer choice and record it on the answer sheet provided. Once you have completed that section of the test, proceed to the tie-breaker

### Basic Statistics Self Assessment Test

Basic Statistics Self Assessment Test Professor Douglas H. Jones PAGE 1 A soda-dispensing machine fills 12-ounce cans of soda using a normal distribution with a mean of 12.1 ounces and a standard deviation

### 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

### EXAM #1 (Example) Instructor: Ela Jackiewicz. Relax and good luck!

STP 231 EXAM #1 (Example) Instructor: Ela Jackiewicz Honor Statement: I have neither given nor received information regarding this exam, and I will not do so until all exams have been graded and returned.

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

Ch. 2 Methods for Describing Sets of Data 2.1 Describing Qualitative Data 1 Identify Classes/Compute Class Frequencies/Relative Frequencies/Percentages 1) In an eye color study, 25 out of 50 people in

### 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

### Review Exam Suppose that number of cars that passes through a certain rural intersection is a Poisson process with an average rate of 3 per day.

Review Exam 2 This is a sample of problems that would be good practice for the exam. This is by no means a guarantee that the problems on the exam will look identical to those on the exam but it should

### The Normal distribution

The Normal distribution The normal probability distribution is the most common model for relative frequencies of a quantitative variable. Bell-shaped and described by the function f(y) = 1 2σ π e{ 1 2σ

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

Stats: Test Review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question Provide an appropriate response. ) Given H0: p 0% and Ha: p < 0%, determine

### 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

### AP Statistics Solutions to Packet 2

AP Statistics Solutions to Packet 2 The Normal Distributions Density Curves and the Normal Distribution Standard Normal Calculations HW #9 1, 2, 4, 6-8 2.1 DENSITY CURVES (a) Sketch a density curve that

### 12, 8, 3, 0, 7, 14 Use mental math to simplify. New Vocabulary measures of central tendency mean outlier median mode range stem-and-leaf plot

-. Plan Objectives To find mean, median, and mode To make and use stem-and-leaf plots Examples Real-World Problem Solving Solving an Equation Finding Range and Mean of Data Using Stem-and-Leaf Plot - What

### 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

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

Exam Name 1) Solve the system of linear equations: 2x + 2y = 1 3x - y = 6 2) Consider the following system of linear inequalities. 5x + y 0 5x + 9y 180 x + y 5 x 0, y 0 1) 2) (a) Graph the feasible set

### 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

### 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