Approximately 1.55 percent of people ages 40-50 have breast cancer.* Suppose a person has a 86 percent chance of a positive test from a mammogram given they have breast cancer (a true positive result). Let's also suppose a person has a 6 percent chance of a positive test from a mammogram given they do not have breast cancer (a false positive result).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Approximately 1.55 percent of people ages 40-50 have breast cancer.* Suppose a person has a 86 percent
chance of a positive test from a mammogram given they have breast cancer (a true positive result). Let's also
suppose a person has a 6 percent chance of a positive test from a mammogram given they do not have breast
cancer (a false positive result).
Complete the table, using a population of 100,000 people.
Positive test result
Negative test result
Total
Has breast cancer
Does not have breast cancer
Total
100,000
What is the probability a person has breast cancer given that they just had a positive test?
% Give answer as a percentage rounded to two places after the decimal.
Transcribed Image Text:Approximately 1.55 percent of people ages 40-50 have breast cancer.* Suppose a person has a 86 percent chance of a positive test from a mammogram given they have breast cancer (a true positive result). Let's also suppose a person has a 6 percent chance of a positive test from a mammogram given they do not have breast cancer (a false positive result). Complete the table, using a population of 100,000 people. Positive test result Negative test result Total Has breast cancer Does not have breast cancer Total 100,000 What is the probability a person has breast cancer given that they just had a positive test? % Give answer as a percentage rounded to two places after the decimal.
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