A new HIV test identifies 95% of people who are really HIV positive and 98% of people whoare really HIV negative. Only 1 in a 1000 of the population are HIV positive. If the HIV testshows a positive result, the individual might wish to retake the test. Suppose that the resultsof a person retaking the HIV test are conditionally independent given HIV status (clearlytwo results of the test would certainly not be unconditionally independent). Suppose aperson takes the test, the test is positive, the person takes the test again and the test is againpositive. What is the probability that the person actually has HIV?

A new HIV test identifies 95% of people who are really HIV positive and 98% of people whoare really HIV negative. Only 1 in a 1000 of the population are HIV positive. If the HIV testshows a positive result, the individual might wish to retake the test. Suppose that the resultsof a person retaking the HIV test are conditionally independent given HIV status (clearlytwo results of the test would certainly not be unconditionally independent). Suppose aperson takes the test, the test is positive, the person takes the test again and the test is againpositive. What is the probability that the person actually has HIV?

Name: A new HIV test identifies 95% of people who are really HIV positive an
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Description: A new HIV test identifies 95% of people who are really HIV positive and 98% of people whoare really HIV negative. Only 1 in a 1000 of the population are HIV positive. If the HIV testshows a positive result, the individual might wish to retake the tes

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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