Random COVID-19 testing is required for students, faculty, and staff at IUPUI. Assume that 10%  of the population currently has the virus in its system. A particular COVID test produces positive results 15% of the time when the person doesn’t actually have the virus, and it produces negative results 2% of the time for people who actually have the virus. Given that a person receives a negative test result, what is the probability that the person is actually infected with the virus? Round your answer to 4 decimal places

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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Random COVID-19 testing is required for students, faculty, and staff at IUPUI. Assume that 10%  of the population currently has the virus in its system. A particular COVID test produces positive results 15% of the time when the person doesn’t actually have the virus, and it produces negative results 2% of the time for people who actually have the virus. Given that a person receives a negative test result, what is the probability that the person is actually infected with the virus? Round your answer to 4 decimal places 

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