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?
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?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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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