A certain virus infects one in every 2000 people. A test used to detect the virus in a person is positive 96% of the time if the person has the virus and 4% of the time if the person does not have the virus. Let A be the event "the person is infected" and B be the event "the person tests positive". a. Find the probability that a person has the virus given that they have tested positive, i.e. find P(A | B). b. Find the probability that a person does not have the virus given that they test negative, i.e. find P(not A | not B)

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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A certain virus infects one in every 2000 people. A test used to detect the virus in a person is positive 96% of the time if the person has the virus and 4% of the time if the person does not have the virus. Let A be the event "the person is infected" and B be the event "the person tests positive". a. Find the probability that a person has the virus given that they have tested positive, i.e. find P(A | B). b. Find the probability that a person does not have the virus given that they test negative, i.e. find P(not A | not B)

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