Loudoun County Public Schools



AP Stats

Chap 14 – 17

Quest Name ________________________________________ Date: __________

1. Pepsi is running a sales promotion in which 12% of all bottles have a “FREE” logo under the cap. What is the probability that you find two free logos in a six-pack?

A. 1% B. 11%

C. 13% D. 23% E. 97%

2. Six Republicans and four Democrats have applied for two open positions on a planning committee. Since all the applicants are qualified to serve, the DC City Council decides to pick the two new members randomly. What is the probability that both committee members come from the same party?

A. 0.7333 B. 0.5778

C. 0.5200 D. 0.4667 E. 0.4200

2. A study conducted at a certain college shows that 51% of the university’s graduates find a job in their chosen field within a year after graduation. Find the probability that nine randomly selected graduates all find jobs in their chosen field within a year of graduating.

A. 4.590 B. 1.000

C. 0.176 D. 0.005 E. 0.002

3. You are dealt a hand of three cards, one at a time. Find the probability that you get no black cards.

A. 0.414 B. 0.231

C. 0.013 D. 0.118 E. 0.125

4. Which of these is most likely to have a geometric model?

A. the number of black cards in a ten-card hand

B. the colors of the cars in Wegman’s parking lot

C. the number of hits a baseball player gets in six times at bat

D. the number of cards drawn form a deck until we find all four aces

E. the number of people we survey until we find someone who owns an iPod

5. Insurance company records indicate that 12% of all teenage drivers have been ticketed for speeding and 9% for going through a red light. If 4% have been ticketed for both offenses, what is the probability that a teenage driver has been issued a ticket for speeding but not for running a red light?

A. 3% B. 8%

C. 12% D. 13% E. 17%

6. Suppose that 14% of people in Sterling speak Spanish. What is the probability that we won’t find a person who speaks Spanish before the sixth person that we randomly survey?

A. 0.4704 B. 0.0659

C. 0.4046 D. 0.0566 E. 0.1400

7. The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of four. Find the standard deviation of the number of seeds germinating in each batch.

A. 0.210 B. 0.906

C. 0.784 D. 0.794 E. 0.917

8. In the town of Blues Valley, 8% of female college students suffer from manic-depressive illness. If 190 of the female students are selected at random, what is the mean of the number who suffer from manic-depressive illness?

A. 95 B. 15.2 C. 3.74 D. 13.98 E. 174.8

9. Which two events are most likely to be independent?

A. being a senior; going to Advisory

B. registering to vote; being left-handed

C. having a car accident; having a learner’s permit

D. doing the AP Statistics homework; getting a passing grade on the test you’re

taking

E. having three inches of snow in the morning; being on time for school

10. A poll of 120 Russians found that 30 had visited the Museum of the Earth, and that 80 had been to Home Depot. If it appeared that going to Home Depot and going to the Museum of the Earth were independent events, how many of those polled had been to both?

A. 10

B. 15

C. 20

D. 24

E. it cannot be determined

Annual Review

11. You are up for your annual job performance review. You estimate there’s a 30% chance you’ll get a promotion, a 40% chance of a raise, and a 20% chance of getting both a raise and a promotion.

Find the probability that you get a raise or a promotion. Explain whatever approach you take to solving this question. Stating “I used my calculator” is not a sufficient explanation. (Hint: Draw a venn diagram)

Credit Card Sales.

12. The National Association of Retailers reports that 62% of all purchases are now made by credit card, and you believe that this is true at your store as well. On a typical day you make 20 sales.

a. Explain why your sales can be considered Bernoulli trials.

b. What is the probability that your fourth customer is the first one who uses a credit card?

c. Let X represent the number of customers who use a credit card on a typical day. What are the mean and standard deviation of X?

d. What is the probability that on a typical day at least half of your customers use a credit card?

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