A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A medical researcher selects a random sample of 2,000 adults and finds (by other means) that 3% have this type of cancer. Each of the 2,000 adults is given the test, and it is found that the test indicates cancer in 97% of those who have it and in 1% of those who do not. Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer? Of a person having cancer given that the test does not indicate cancer?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A medical researcher selects a random
sample of 2,000 adults and finds (by other means) that 3% have this type of cancer. Each of the 2,000 adults is given the test, and it is found that the test indicates
cancer in 97% of those who have it and in 1% of those who do not. Based on these results, what is the probability of a randomly chosen person having cancer given
that the test indicates cancer? Of a person having cancer given that the test does not indicate cancer?
Transcribed Image Text:A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A medical researcher selects a random sample of 2,000 adults and finds (by other means) that 3% have this type of cancer. Each of the 2,000 adults is given the test, and it is found that the test indicates cancer in 97% of those who have it and in 1% of those who do not. Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer? Of a person having cancer given that the test does not indicate cancer?
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