A drug test correctly gives a positive result 88 percent of the time. However, 3 percent of the time, it incorrectly gives a positive result. This is known as a false positive. Suppose that 5 percent of the people to be tested will have one or more of the drugs being tested for in their system. What is the probability that a randomly chosen person will have get a positive test result? Your answer should be to 4 decimal places.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A drug test correctly gives a positive result 88 percent of the time. However, 3 percent of the time, it incorrectly gives a positive result. This is known as a false positive. Suppose that 5 percent of the people to be tested will have one or more of the drugs being tested for in their system.

What is the probability that a randomly chosen person will have get a positive test result?

Your answer should be to 4 decimal places.

 

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