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 1,000 adults and finds (by other means) that 3% have this type of cancer. Each of the 1,000 adults is given the test, and it is found that the test indicates cancer in 99% of those who have it and in 2% 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? ..... Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer? (Round to three decimal places as needed.) What is the probability of a person having cancer given that the test does not indicate cancer? (Round to six decimal places as needed.)
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 1,000 adults and finds (by other means) that 3% have this type of cancer. Each of the 1,000 adults is given the test, and it is found that the test indicates cancer in 99% of those who have it and in 2% 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? ..... Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer? (Round to three decimal places as needed.) What is the probability of a person having cancer given that the test does not indicate cancer? (Round to six decimal places as needed.)
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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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 1,000 adults and finds (by other means) that 3% have this type of cancer. Each of the 1,000 adults is given the test, and
it is found that the test indicates cancer in 99% of those who have it and in 2% 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?
.....
Based on these results, what is the probability of a randomly chosen
person having cancer given that the test indicates cancer?
(Round to three decimal places as needed.)
What is the probability of a person having cancer given that the test does
not indicate cancer?
(Round to six decimal places as needed.)
.....
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