Approximately 1 percent of women ages 40-50 have breast cancer. A woman has a 80 percent chance of a positive test from a mammogram given she has breast cancer (a true positive result). A woman has a 12 percent chance of a positive test from a mammogram given she does not have breast cancer (a false positive result). Complete the table below, then answer the questions below the table. Give all answers as decimals to 4 decimal places. Positive test result Negative test result Total Has breast cancer Does not have breast cancer Total What is the probability a woman has breast cancer given that she just had a positive test? Give answer as decimals to 4 decimal places.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter28: Degree Of Precision, Greatest Possible Error, Absolute Error, And Relative Error
Section: Chapter Questions
Problem 52A
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Approximately 1 percent of women ages 40-50 have breast cancer. A woman has a 80 percent chance of a positive test from a mammogram given she has breast cancer (a true positive result). A woman has a 12 percent chance of a positive test from a mammogram given she does not have breast cancer (a false positive result).

Complete the table below, then answer the questions below the table. Give all answers as decimals to 4 decimal places.

Positive test result Negative test result Total
Has breast cancer



Does not have breast cancer



Total


What is the probability a woman has breast cancer given that she just had a positive test?

Give answer as decimals to 4 decimal places.

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