What is the probability a woman has breast cancer given that she just had a positive test?
What is the probability a woman has breast cancer given that she just had a positive test?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
Approximately 1 percent of women ages 40-50 have breast cancer. A woman has a 85 percent chance of a positive test from a mammogram given she has breast cancer (a true positive result). A woman has a 9 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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