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

Transcription

1 Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated probability. 1) You are dealt a hand of three cards, one at a time. Find the probability that you have at least one face card. A) B) C) D) E) ) An auto insurance company was interested in investigating accident rates for drivers in different age groups. The following table was based on a random sample of drivers and classifies drivers by age group and accident rate. 1) 2) What is the probability that a person who had no accidents in the past three years is over 45? A) B) C) D) E) ) The table below describes the smoking habits of a group of asthma sufferers. Occasional Regular Heavy Nonsmoker smoker smoker smoker Total Men Women Total ) If one of the 1088 people is randomly selected, find the probability that the person is a man or a heavy smoker. A) B) C) D) ) Based on meteorological records, the probability that it will snow in a certain town on January 1st is Find the probability that in a given year it will not snow on January 1st in that town. A) B) C) D) ) 1

2 5) The contingency table below provides a joint frequency distribution for a random sample of patients at a hospital classified by blood type and sex. 5) If a person is selected at random from the sample, find the probability that the person has blood type A and is female. A) B) C) D) E) ) College students were given three choices of pizza toppings and asked to choose one favorite. The following table shows the results. 6) toppings freshman sophomore junior senior cheese meat veggie Among the juniors what is the probability that a student responded "meat"? A) B) 0.15 C) D) E) ) You are dealt a hand of three cards, one at a time. Find the probability that your cards are all diamonds. A) B) C) D) E) ) Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 5? 7) 8) A) 5 6 B) 8 9 C) 1 9 D) 4 2

3 Determine whether the events are disjoint and give a reason. 9) According to a survey conducted by an environmental organization, the probability that an eligible voter cares about environmental issues is 0.63, the probability that an eligible voter voted in the last election is 0.44 and the probability that an eligible voter both voted in the last election and cares about environmental issues is Are caring about environmental issues and voting in the last election disjoint events? A) Yes, because P(C or V) = P(C) + P(V) B) No, the probability that a voter voted in the last election is 0.44, but the probability that a voter voted in the last election given that they care about environmental issues is C) Yes, the probability that a voter cares about environmental issues and voted in the last election is zero. D) Yes, the probability that a voter cares about environmental issues is the same as the probability that a voter cares about environmental issues given that they voted in the last election. E) No, 30% both care about environmental issues and voted in the last election Solve the problem. 10) The mean weight of babies born in Central hospital last year was 6.3 pounds. Suppose the standard deviation of the weights is 2.1 pounds. Which would be more unusual, a baby weighing 4 pounds or a baby weighing 8.5 pounds? Explain. A) An 8.5 pound baby is more unusual (z = -1.10) compared with a 4 pound baby (z = -1.05). B) A 4 pound baby is more unusual (z = -1.05) compared with an 8.5 pound baby (z = -1.10). C) A 4 pound baby is more unusual (z = -1.10) compared with an 8.5 pound baby (z = 1.05). D) An 8.5 pound baby is more unusual (z = 1.90) compared with a 4 pound baby (z = 4.05). E) An 8.5 pound baby is more unusual (z = -1.05) compared with a 4 pound baby (z = -1.10). 11) A consumer organization estimates that 30% of the households in a particular community have one television set, 38% have two sets, and 20% have three or more sets. What is the probability that a household chosen at random has no television sets? A) 0.18 B) 0 C) 0.88 D) 0.12 E) ) The weights of certain machine components are normally distributed with a mean of 8.61 g and a standard deviation of 0.07 g. Find the two weights that separate the top 3% and the bottom 3%. Theses weights could serve as limits used to identify which components should be rejected. A) 8.60 g and 8.62 g B) 8.58 g and 8.64 g C) 8.48 g and 8.74 g D) 8.46 g and 8.80 g 13) Here are the prices for 8 different CD players. Find the standard deviation. 9) 10) 11) 12) 13) $195 $358 $201 $276 $161 $301 $387 $128 A) $565,441.0 B) $161 C) $94.1 D) $144.5 E) $503, ) A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, what percentage can be expected to be between 200 and 275? A) 5.00% B) 6.68% C) 43.32% D) 93.32% E) 42.37% 14) 3

4 15) The amount of rainfall in January in a certain city is normally distributed with a mean of 4.6 inches and a standard deviation of 0.3 inches. Find the value of the quartile Q1. 15) A) 1.2 B) 4.5 C) 4.8 D) 4.4 Identify potential outliers, if there are any, in the given data. 16) Here are the test scores of 32 students: 16) A) 32, 95, 99 B) 99 C) 32 D) 32, 99 E) None Find the number of standard deviations from the mean. Round to the nearest hundredths. 17) The weights of children age two average 25 pounds with a standard deviation of 3 pounds. How many standard deviations from the mean is a weight of 18 pounds? A) About 1.39 standard deviations above the mean B) About 2.33 standard deviations above the mean C) About 1.22 standard deviations below the mean D) About 1.22 standard deviations above the mean E) About 2.33 standard deviations below the mean Find the median of the data. 18) The number of cars passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below. 17) 18) A) 29 cars B) 30 cars C) cars D) 27 cars E) 33 cars Find the mean of the data. 19) The local Tupperware dealers earned the following commissions, in dollars, last month. 19) $ $ $ $ $ $ $ $ $ $ Round your answer to the nearest cent. A) $ B) $ C) $ D) $ E) $

5 Solve the problem. Round your answer, as needed. 20) In a business class, 35% of the students have never taken a statistics class, 25% have taken only one semester of statistics, and the rest have taken two or more semesters of statistics. The professor randomly assigns students to groups of three to work on a project for the course. What is the probability that both of your two group mates have studied at least one semester of statistics? A) 1.3 B) C) 0.65 D) 0.25 E) ) A study conducted at a certain college shows that 75% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that 5 randomly selected graduates all find jobs in their chosen field within a year of graduating. A) B) C) D) Use summary statistics to answer the question. 22) Here are some summary statistics for all of the runners in a local 12K race: slowest time = 140 minutes, mean = 88 minutes, median = 88 minutes, range = 110 minutes, IQR = 59, Q1 = 35, standard deviation = 12 minutes. Between what two values are the middle 50% of times? A) 22 and 66 B) 35 and 94 C) 17.6 and 70.4 D) 44 and 88 E) 140 and 30 Assume that X has a normal distribution, and find the indicated probability. 23) The mean is m = 15.2 and the standard deviation is s = 0.9. Find the probability that X is greater than A) B) C) D) ) 21) 22) 23) 5

6 Answer Key Testname: TEST1 1) C 2) D 3) D 4) C 5) D 6) E 7) E 8) C 9) E 10) C 11) D 12) C 13) C 14) C 15) D 16) E 17) E 18) A 19) B 20) E 21) A 22) B 23) B 6