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A steroid detection test is 93% effective at detecting steroid use, meaning that the probability of...

A steroid detection test is 93% effective at detecting steroid use, meaning that the probability of a user testing positive is 0.93. Unfortunately, it has a false positive rate of 9%, meaning the the probability of of a nonuser testing positive is 0.09. A large university estimates that about 12% 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?

math   Statistics-And-Probability   
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