What is the probability that person actually has hepatitis

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Suppose that the reliability of a test for hepatitis is specified as follows: Of people with hepatitis, 94% have a positive reaction and 6% have a negative reaction; of people free of hepatitis, 89% have a negative reaction and 11% have a positive reaction. From a large population of which .05% of the people have hepatitis, a person is selected at random and given the test. If the test is positive, what is the probability that the person actually has hepatitis? (Round your answer to five decimal places.)

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