What is the probability that a woman does not have breast cancer and tests positive? b. What is the probability of a randomly selected woman having a positive test result? c. If a woman gets a negative test result, what is the probability that she does not have breast cancer?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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Approximately 14% of women aged 45 - 60 have breast cancer. A woman with breast cancer has a 96% chance of a positive test from a mammogram, while a woman without breast cancer has a 18% chance of a positive result.

a. What is the probability that a woman does not have breast cancer and tests positive?

b. What is the probability of a randomly selected woman having a positive test result?

c. If a woman gets a negative test result, what is the probability that she does not have breast cancer?

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