Q14. 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 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 HIV 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 HIV with this test is infected with it? d) a patient testing negative for HIV with this test is not infected with it?

Q14. 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 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 HIV 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 HIV with this test is infected with it? d) a patient testing negative for HIV with this test is not infected with it?

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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Question

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Q14. 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 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 HIV 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 HIV with this test is infected with it?
d) a patient testing negative for HIV with this test is not infected with it?

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