Suppose that the reliability of a test for hepatitis is specified as follows: of people sick with hepatitis, 95% test positive; of people free of hepatitis, 90% test negative. From a large population of which 0.05% of the people have hepatitis, a person is selected at random and given the test. a. Find the probability that the person tests positive. b. if the test is positive, what is the probability that the person actually has hepatitis?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose that the reliability of a test for hepatitis is specified as follows: of people sick with hepatitis, 95% test positive; of people free of hepatitis, 90% test negative.

From a large population of which 0.05% of the people have hepatitis, a person is selected at random and given the test.

a. Find the probability that the person tests positive.

b. if the test is positive, what is the probability that the person actually has hepatitis?

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