5. Mammograms are 80% effective in detecting breast cancer. However, their false positive rate is 10%. Suppose that 0.08% of persons tested actually have breast cancer. What is the probability a person has breast cancer, given that the mammogram detected cancer?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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5. Mammograms are 80% effective in detecting breast cancer. However, their false
positive rate is 10%. Suppose that 0.08% of persons tested actually have breast
cancer. What is the probability a person has breast cancer, given that the
mammogram detected cancer?
Transcribed Image Text:5. Mammograms are 80% effective in detecting breast cancer. However, their false positive rate is 10%. Suppose that 0.08% of persons tested actually have breast cancer. What is the probability a person has breast cancer, given that the mammogram detected cancer?
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