Suppose that 9% of all athletes in a sport use a banned drug. A test is available that detects 94% of athletes who use thedrug. But the test also gives a positive result for 8% of those who do not use the drug.What percent of athletes who test positive for the drug are actually using the drug?Answer:77.28%

Answered: What percent of athletes who test…

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What percent of athletes who test positive for the drug are actually using the drug? Answer: 77 28

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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Question

Suppose that 9% of all athletes in a sport use a banned drug. A test is available that detects 94% of athletes who use the
drug. But the test also gives a positive result for 8% of those who do not use the drug.
What percent of athletes who test positive for the drug are actually using the drug?
Answer:
77.28
%

Expert Solution

Step 1

Let us define some events

A : an athlete is using the drug.

B : an athlete is bkt using the drug.

E : an athlete tests positive.

It is given that

P(A) = 0.09, P(B) = 1 - 0.09 = 0.91

P(E|A) = 0.94, P(E|B) = 0.08

Step by step

Solved in 2 steps

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