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?

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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 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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