Answered: A company has developed a drug test to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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12.) A company has developed a drug test to detect steroid use by athletes. The test is accurate 95% of the time when an athlete has taken steroids. It is 97% accurate when an athlete hasn’t taken steroids. Suppose that the drug test will be used in a population of athletes in which 10% have taken steroids. Let’s choose an athlete at random and administer the drug test.

a.) Make a tree diagram showing the sample space of this chance process. b.) What’s the probability that the randomly selected athlete tests positive? c.) Suppose that the chosen athlete tests positive. What’s the probability that he or she used steroids?

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