If an athlete is tested negative, what is the probability that he/she uses steroids?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Question
All athletes at the Olympic games are tested for performance-enhancing steroid drug use.
The imperfect test gives positive results (indicating drug use) for 90% of all steroid-users
but also (and incorrectly) for 2% of those who do not use steroids. Suppose that 5% of all
registered athletes use steroids. If an athlete is tested negative, what is the probability that
he/she uses steroids?
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