In Canada, about 63.55% of women over 40 will develop breast cancer in any given year. A common screening test for cancer is the mammogram, but it is not perfect. In about 50.97% of patients with breast cancer, the test gives a false negative: it indicates a woman does not have breast cancer when she does have breast cancer. Similarly, the test gives a false positive in 10.06% of patients who do not have breast cancer: it indicates these patients have breast cancer when they actually do not. If a randomly selected woman over 40 is tested for breast cancer using a mammogram and the test is positive - that is, the test suggests the woman has cancer - what is the probability she has breast cancer? Round your answer to five decimal places.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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In Canada, about 63.55% of women over 40 will develop breast cancer in any given year. A
common screening test for cancer is the mammogram, but it is not perfect. In about 50.97%
of patients with breast cancer, the test gives a false negative: it indicates a woman does not
have breast cancer when she does have breast cancer. Similarly, the test gives a false
positive in 10.06% of patients who do not have breast cancer: it indicates these patients
have breast cancer when they actually do not. If a randomly selected woman over 40 is
tested for breast cancer using a mammogram and the test is positive that is, the test
suggests the woman has cancer - what is the probability she has breast cancer? Round your
answer to five decimal places.
Transcribed Image Text:In Canada, about 63.55% of women over 40 will develop breast cancer in any given year. A common screening test for cancer is the mammogram, but it is not perfect. In about 50.97% of patients with breast cancer, the test gives a false negative: it indicates a woman does not have breast cancer when she does have breast cancer. Similarly, the test gives a false positive in 10.06% of patients who do not have breast cancer: it indicates these patients have breast cancer when they actually do not. If a randomly selected woman over 40 is tested for breast cancer using a mammogram and the test is positive that is, the test suggests the woman has cancer - what is the probability she has breast cancer? Round your answer to five decimal places.
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