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A model response might look like this: In a certain region in the country, 12% of women are diagnosed with Breast Cancer. A mammogram at the region's hospital correctly diagnoses a woman with Breast Cancer about 85% of the time. This mammography produces a false positive about 5% of the time. What is the probability that a woman that had a negative mammogram has Breast Cancer?

A model response might look like this: In a certain region in the country, 12% of women are diagnosed with Breast Cancer. A mammogram at the region's hospital correctly diagnoses a woman with Breast Cancer about 85% of the time. This mammography produces a false positive about 5% of the time. What is the probability that a woman that had a negative mammogram has Breast Cancer?

A First Course in Probability (10th Edition)
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 #1: Create a scenario from your own experiences that can be used to model a probability problem with related events, where there is dependency presented between the events (see your text, section 8.7 for guidance.) A model response might look like this: In a certain region in the country, 12% of women are diagnosed with Breast Cancer. A mammogram at the region's hospital correctly diagnoses a woman with Breast Cancer about 85% of the time. This mammography produces a false positive about 5% of the time. What is the probability that a woman that had a negative mammogram has Breast Cancer?
Transcribed Image Text:Question #1: Create a scenario from your own experiences that can be used to model a probability problem with related events, where there is dependency presented between the events (see your text, section 8.7 for guidance.) A model response might look like this: In a certain region in the country, 12% of women are diagnosed with Breast Cancer. A mammogram at the region's hospital correctly diagnoses a woman with Breast Cancer about 85% of the time. This mammography produces a false positive about 5% of the time. What is the probability that a woman that had a negative mammogram has Breast Cancer?
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