A test is designed to detect cancer. If a person has cancer, then the probability that the test will detect it is .95; if the person does not have cancer, the probability that the test will erroneously indicate that he or she does have cancer is 0.1. Assume 15% of the population who take the test have cancer. What is the probability that a person described by the test as not having cancer really does have it?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 15CR
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A test is designed to detect cancer. If a person has cancer, then the probability that the test will detect it is .95; if the person does not have cancer, the probability that the test will erroneously indicate that he or she does have cancer is 0.1. Assume 15% of the population who take the test have cancer. What is the probability that a person described by the test as not having cancer really does have it?

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