Suppose that one person in 1,000 has a particular disease for which there is a fairly accurate diagnostic test. This test is correct 98% of the time when given to a person selected at random who is a sufferer; it is correct 97% of the time when given to a person selected at random who is a non-sufferer. Calculate the following probabilities: (a) that, given a positive result, the person is a sufferer; (b) that, given a negative result, the person is a non-sufferer.

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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Suppose that one person in 1,000 has a particular disease for which there is a fairly accurate diagnostic test. This test is correct 98% of the time when given to a person selected at random who is a sufferer; it is correct 97% of the time when given to a person selected at random who is a non-sufferer. Calculate the following probabilities:

(a) that, given a positive result, the person is a sufferer;

(b) that, given a negative result, the person is a non-sufferer.

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