Solved: Suppose that 8% of the patients tested in a clinic

Chapter 6, Problem 6.3.9

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Suppose that 8% of the patients tested in a clinic are infected with HIV Furthermore, suppose that when a blood test for HIV is given, 98% of the patients infected with 6-32 HIV test positive and that 3% of the patients not infected with HIV test positive. What is the probability that a) a patient testing positive for mv with this test is infected with it? b) a patient testing positive for HIV with this test is not infected with it? c) a patient testing negative for mv with this test is infected with it? d) a patient testing negative for mv with this test is not infected with it?

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