In the population of the USA, estimates suggest that 1 in every 250 people (0.4%) has been infected with HIV. Tests that are given to detect HIV in people are 99.5% accurate. Chris is randomly selected from the population of the USA for an HIV test and his test is “positive”. What is the chance that Chris is infected with HIV?

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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In the population of the USA, estimates suggest that 1 in every 250 people (0.4%) has been infected with HIV. Tests that are given to detect HIV in people are 99.5% accurate. Chris is randomly selected from the population of the USA for an HIV test and his test is “positive”. What is the chance that Chris is infected with HIV?

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