The National Institute for Sports estimates that 11% of all college athletes use steroids. A new test correctly diagnoses the presence of steroids in 94% 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?

The National Institute for Sports estimates that 11% of all college athletes use steroids. A new test correctly diagnoses the presence of steroids in 94% 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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

The National Institute for Sports estimates that

11%

of all college athletes use steroids. A new test correctly diagnoses the presence of steroids in

94%

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?

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