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A certain virus infects 1 out of every 500 people. A test used to detect the virus in a person is positive 80% of the time if the person has the virus and 5% of the time if the person does not have the virus. (Use n= 50,000) a.) A person tests positive. What is the probability he does not has the virus? (False positive) b.) Another person tests negative. What is the probability he actually does have the virus? (False negative)

A certain virus infects 1 out of every 500 people. A test used to detect the virus in a person is positive 80% of the time if the person has the virus and 5% of the time if the person does not have the virus. (Use n= 50,000) a.) A person tests positive. What is the probability he does not has the virus? (False positive) b.) Another person tests negative. What is the probability he actually does have the virus? (False negative)

A First Course in Probability (10th Edition)
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 1 out of every 500 people. A test used to detect the virus in a person is positive 80% of the time if the person has the virus and 5% of the time if the person does not have the virus. (Use n= 50,000) a.) A person tests positive. What is the probability he does not has the virus? (False positive) b.) Another person tests negative. What is the probability he actually does have the virus? (False negative).
Transcribed Image Text:A certain virus infects 1 out of every 500 people. A test used to detect the virus in a person is positive 80% of the time if the person has the virus and 5% of the time if the person does not have the virus. (Use n= 50,000) a.) A person tests positive. What is the probability he does not has the virus? (False positive) b.) Another person tests negative. What is the probability he actually does have the virus? (False negative).
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