Assume that the incidence of a certain virus in a particular population is 4% and that a test correctly identifies the virus 87% of the time. Assume that false positives occur at 6%  of the time. If a person tests positive for the virus, what is the probability that the person actually has the virus?

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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Assume that the incidence of a certain virus in a particular population is 4% and that a test correctly identifies the virus 87% of the time. Assume that false positives occur at 6%  of the time. If a person tests positive for the virus, what is the probability that the person actually has the virus?

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