3.7% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely accurate. 90.2% of those who have the disease test positive. However, 3.9% of those who do not have the disease also test positive (false positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
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 3.7% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely accurate. 90.2% of those who have the disease test positive. However, 3.9% of those who do not have the disease also test positive (false positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive?

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