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

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)
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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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 %
Transcribed Image Text: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

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