Answered: Imagine a woman has a positive…

Math

Probability

Imagine a woman has a positive mammogram. What is the probability that she has breast cancer?

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

n one recent study, doctors in several Western countries were asked to estimate the
probability that a woman with a positive mammogram actually has breast cancer, even
though she’s in a low-risk group: 40 to 50 years old, with no symptoms or family
history of breast cancer.
The probability that one of these women has breast cancer is 0.8 percent. If a woman
has breast cancer, the probability is 90 percent that she will have a positive
mammogram. If a woman does not have breast cancer, the probability is 7 percent that
she will still have a positive mammogram.
Imagine a woman has a positive mammogram. What is the probability that she has
breast cancer?

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