The National Institute for Sports estimates that 6​% of all college athletes use steroids. A new test correctly diagnoses the presence of steroids in 93​% of athletes that have used steroids in the past 18 months. The test gives a positive result to 14​% of athletes who do not use steroids.   What is the probability an athlete uses steroids given that he has a negative​ result?

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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The National Institute for Sports estimates that
6​%
of all college athletes use steroids. A new test correctly diagnoses the presence of steroids in
93​%
of athletes that have used steroids in the past 18 months. The test gives a positive result to
14​%
of athletes who do not use steroids.
 
What is the probability an athlete uses steroids given that he has a negative​ result?
 
nothing     
Round your answer to 4 decimal​ places, if necessary
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