9. When Olympic athletes are tested for illegal drug use (i.e., doping), the result of a single test are used to ban the athlete from competition. In a population of 1,000 athletes, suppose 120 are illegally using testosterone. Of the users, suppose 66 would test positive for testosterone. Of the nonusers, suppose 11 would test positive. (a)Given that the athlete is a nonuser, find the probability that a drug test for testosterone will yield a negative result. (b)If an athlete tests positive for testosterone, find the probability that the athlete is really doping.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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9. When Olympic athletes are tested for illegal drug use (i.e., doping), the result of a single test are used to ban the athlete from competition. In a population of 1,000 athletes, suppose 120 are illegally using testosterone. Of the users, suppose 66 would test positive for testosterone. Of the nonusers, suppose 11 would test positive.
(a)Given that the athlete is a nonuser, find the probability that a drug test for testosterone will yield a negative result.
(b)If an athlete tests positive for testosterone, find the probability that the athlete is really doping.

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