on an uninfected person. What is the probability that a randomly tested person from this area will get a "positive" result? If a person's test result comes back "positive," what is the probability he is actually HIV infected?

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 a rural area the fraction of the population that is HIV infected is 0.0007 (7 people per 10,000). The blood test for HIV infection returns a "positive" test result 98% of the time when the test is used on an infected person, and 1% of the time when used
on an uninfected person.
What is the probability that a randomly tested person from this area will get a "positive" result?
If a person's test result comes back "positive," what is the probability he is actually HIV infected?
Transcribed Image Text:In a rural area the fraction of the population that is HIV infected is 0.0007 (7 people per 10,000). The blood test for HIV infection returns a "positive" test result 98% of the time when the test is used on an infected person, and 1% of the time when used on an uninfected person. What is the probability that a randomly tested person from this area will get a "positive" result? If a person's test result comes back "positive," what is the probability he is actually HIV infected?
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