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A steroid detection test is 86% effective at detecting steroid use, meaning that the probability of a user testing positive is 0.86. Unfortunately, it has a false positive rate of 12%, meaning the the probabilisy of of a nonuser testing positive is 0.12. A large university estimates that about 10% of its athletes use steroids. The universitys quarterback tests positive for steroids, yet he claims he does not use them. What are the chances that he is telling the truth? (Enter the probability as a decimal rounded to four decimal places.)

A steroid detection test is 86% effective at detecting steroid use, meaning that the probability of a user testing positive is 0.86. Unfortunately, it has a false positive rate of 12%, meaning the the probabilisy of of a nonuser testing positive is 0.12. A large university estimates that about 10% of its athletes use steroids. The universitys quarterback tests positive for steroids, yet he claims he does not use them. What are the chances that he is telling the truth? (Enter the probability as a decimal rounded to four decimal places.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A steroid detection test is 86% effective at detecting steroid use, meaning that the probability of a user testing positive is 0.86. Unfortunately, it has a false positive rate of 12%, meaning the the probabilisy of of a nonuser testing positive is 0.12. A large university estimates that about 10% of its athletes use steroids. The universitys quarterback tests positive for steroids, yet he claims he does not use them. What are the chances that he is telling the truth? (Enter the probability as a decimal rounded to four decimal places.)
Transcribed Image Text:A steroid detection test is 86% effective at detecting steroid use, meaning that the probability of a user testing positive is 0.86. Unfortunately, it has a false positive rate of 12%, meaning the the probabilisy of of a nonuser testing positive is 0.12. A large university estimates that about 10% of its athletes use steroids. The universitys quarterback tests positive for steroids, yet he claims he does not use them. What are the chances that he is telling the truth? (Enter the probability as a decimal rounded to four decimal places.)
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