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Probability

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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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