A blood test indicates the presence of a particular disease 94% of the time when the disease is actually present. The same test indicates the presence of the disease 0.7% of the time when the disease is not present. 3% of the population actually has the disease. Calculate the probability that a person has the​ disease, given that the test indicates the presence of the disease.

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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A blood test indicates the presence of a particular disease 94% of the time when the disease is actually present. The same test indicates the presence of the disease 0.7% of the time when the disease is not present. 3% of the population actually has the disease. Calculate the probability that a person has the​ disease, given that the test indicates the presence of the disease.

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