A certain virus infects 5% of the population . A test used to detect the virus in  a person is positive 80% of the time if the person has the virus, and 10% of the time if the person does not ahve the virus. A. What is the probability that a random selected person tested positive and has the virus? B. What is the probability that a randomly selected person tested positive and does not have the virus? C. What is the probibility that a randomly selected person has the virus given that they get a positive test result?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A certain virus infects 5% of the population . A test used to detect the virus in  a person is positive 80% of the time if the person has the virus, and 10% of the time if the person does not ahve the virus.

A. What is the probability that a random selected person tested positive and has the virus?

B. What is the probability that a randomly selected person tested positive and does not have the virus?

C. What is the probibility that a randomly selected person has the virus given that they get a positive test result?

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