6) The sensitivity of a medical test is defined as the probability that the test will be positive, given that the person has the disease. The specificity of a test is defined as the probability that the test will be negative, given that the person does not have the disease. The sensitivity for breast cancer of a mammography is approximately 79.6%. The specificity of a mammography exam is approximately 90.2% Approximately 2.4% of women under the age of 50 have breast cancer. (a) Draw a tree diagram that represents the above data for breast cancer and mammography exams. (b) Given that a women under the age of 50 tests positive for breast cancer during a mammography exam, find the probability that she has cancer.

6) The sensitivity of a medical test is defined as the probability that the test will be positive, given that the person has the disease. The specificity of a test is defined as the probability that the test will be negative, given that the person does not have the disease. The sensitivity for breast cancer of a mammography is approximately 79.6%. The specificity of a mammography exam is approximately 90.2% Approximately 2.4% of women under the age of 50 have breast cancer. (a) Draw a tree diagram that represents the above data for breast cancer and mammography exams. (b) Given that a women under the age of 50 tests positive for breast cancer during a mammography exam, find the probability that she has 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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