11. [Objective:  Calculate a data value from a percentile or z-score]  Suppose that it is reported in the news that

8  % of the people living and working in Kokomo feel “very satisfied” with their commute time to work.

What is the travel time to work that separates the bottom 8% of people with the shortest travel times and the upper 92%?  Round to the nearest tenth of a minute.

a. 17.2 minutes

b. 13.8 minutes

c. 10.7 minutes

d. None of the above

12. [Objective:  Calculate a data value from a percentile or z-score]  The normal model N ( 58,21 ) describes the distribution of weights of chicken eggs in grams.  Suppose that the weight of a randomly selected chicken egg has a z-score of -2.01.  What is the weight of this egg in grams?  Round to the nearest hundredth of a gram.

a. 31.20 grams

b. 15.80 grams

c. 28.50 grams

d. 38.10 grams

13. [Objective:  Understand the binomial model]  Which of the following characteristics are not required for the binomial model?

a. The probability of success and of failure must be equal.

b. There are a fixed number of trials.

c. The trials must be independent.

d. The probability of success is the same at each trial.

14. [Objective:  Understand the binomial model]  Determine which of the given procedures describe a binomial distribution.

a. Record the number of songs downloaded in a month for a group of 30 randomly selected college students.

b. Observing that ten out of the next twenty customers at a grocery store checkout use a credit card given that the probability of using a credit card is 0.58.

c. Surveying customers entering a sporting equipment store until a customer responds that he or she was shopping for a bicycle.

Use the following information to answer questions (15)-(18).  Suppose that the probability that a person books an airline ticket using an online travel website is 0.72.   For the questions that follow, consider a sample of ten randomly selected people who recently booked an airline ticket.

15. [Objective:  Calculate probabilities using the binomial model]  What is the probability that exactly seven

out of ten people used an online travel website when they booked their airline ticket?  Round to the nearest thousandth.

a. 0.035

b. 0.480

c. 0.998

d. 0.264

16. [Objective:  Calculate probabilities using the binomial model]  What is the probability that at least nine out

of ten people used an online travel website when they booked their airline ticket?  Round to the nearest thousandth.

a. 0.065

b. 0.183

c. 0.935

d. 0.857

17. [Objective:  Calculate probabilities using the binomial model]  What is the probability that no more than

three out of ten people used an online travel website when they book their airline ticket?  Round to the nearest thousandth.

a. 0.733

b. 0.115

c. 0.007

d. None of the above

18. [Objective:  Calculate the mean and standard deviation using the binomial model]   Out of ten randomly

selected people, how many would you expect to use an online travel website to book their hotel, give or take how many?  Round to the nearest whole person.

a. 7 people, give or take 1 person

b. 8 people, give or take 2 people

c. 7 people, give or take 2 people

d. 3 people, give or take 4 people

19. [Objective:  Calculate probabilities using the binomial model]  Five identical poker chips are tossed in a hat

and mixed up.  Two of the chips have been marked with an X to indicate that if drawn a valuable prize will

be awarded.  If you and three of your friends each draws a chip (with replacement), what is the probability that at least one of your group of four will win the valuable prize?  Round to the nearest thousandth.

a. 0.870

b. 0.130

c. 0.758

d. None of the above

20. [Objective:  Understand expected value and the binomial model]  Suppose that the probability that a person

between the ages of 19 and 24 buys at least one tabloid magazine per week is 0.115.  If 500 randomly

selected people between the ages of 19 and 24 were asked “Do you buy at least one tabloid magazine per week?”, would you be surprised if 45 or more said yes to this question? Why?

a. Yes, 55 would be an unusually small number of people given the known probability of 0.115.

b. No, 55 is within the expected range of people.

c. Yes, 55 would be an unusually large number of people given the known probability of 0.12.

d. Cannot be determined with the given information.

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