Approximately 3% of women aged 45 - 60 have breast cancer. A woman with breast cancer has a 97% chance of a positive test from a mammogram, while a woman without breast cancer has a 22% 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

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Approximately 3% of women aged 45 - 60 have breast cancer. A woman with breast cancer has a 97% chance of a positive test from a mammogram, while a woman without breast cancer has a 22% 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?

**Note: Answer in exact fraction, or rounded to at least 4 decimal places.

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