5 Steps to a 5: AP Statistics 2023 by Derksen Jared;McDonald DeAnna Krause;

Author:Derksen, Jared;McDonald, DeAnna Krause;
Language: eng
Format: epub
Publisher: McGraw-Hill Education
Published: 2022-04-15T00:00:00+00:00

14. After the Challenger disaster of 1986, it was discovered that the explosion was caused by defective O-rings. The probability that a single O-ring was defective and would fail (with catastrophic consequences) was 0.003, and there were 12 of them (6 outer and 6 inner). What was the probability that at least one of the O-rings would fail (as it actually did)?

15. Your favorite cereal has a little prize in each box. There are 5 such prizes. Each box is equally likely to contain any one of the prizes. So far, you have been able to collect 2 of the prizes. What is:

(a) the probability that you will get the third different prize on the next box you buy?

(b) the probability that it will take three more boxes to get the next prize?

(c) the average number of boxes you will have to buy before getting the third prize?

16. Opinion polls in 2002 showed that about 70% of the population had a favorable opinion of President Bush. That same year, a simple random sample of 600 adults living in the San Francisco Bay Area showed only 65% had a favorable opinion of President Bush. What is the probability of getting a rating of 65% or less in a random sample of this size if the true proportion in the population was 0.70?

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