A steroid detection test is 87% effective at detecting steroid use, meaning that the probability of a user testing positive is 0.87. Unfo it has a false positive rate of 8%, meaning the the probability of of a nonuser testing positive is 0.08. A large university estimates tha- 18% of its athletes use steroids. The university track captain tests positive for steroids, yet he claims he does not use them. What are 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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 87% effective at detecting steroid use, meaning that the probability of a user testing positive is 0.87. Unfortunately,
it has a false positive rate of 8%, meaning the the probability of of a nonuser testing positive is 0.08. A large university estimates that about
18% of its athletes use steroids. The university track captain 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 87% effective at detecting steroid use, meaning that the probability of a user testing positive is 0.87. Unfortunately, it has a false positive rate of 8%, meaning the the probability of of a nonuser testing positive is 0.08. A large university estimates that about 18% of its athletes use steroids. The university track captain 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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