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?

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?

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

Note: I don't need detailed explanation, just provide the correct answer ASAP.

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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