Mammography and clinical breast examination are the two major techniques used to screenfor breast cancer. However, as true for any screening test, they are not completely accurate.If it is determined, based on mammographic findings, that there is a possibility of breastcancer, this is usually confirmed or disconfirmed by a subsequent biopsy. A false positive testis a mammogram positive test that is disconfirmed by biopsy. The data in Table 1 werereported in a paper concerning breast cancer screening (Elmore, et al, New England Journalof Medicine 1998; 338(16): 1089-1096).Table 1 False positive breast cancer screening tests over a 10-year period# Screening tests# False positive tests97626311. Suppose that 5% of all mammograms are obtained from women who truly have breast cancer.What is the proportion of mammograms that will yield test positive results?Hint: Subdivide the probability of a test positive mammogram into two mutually exclusivecomponents of {test positive mammograms with breast cancer}, and {test positivemammograms without breast cancer}, and use the results of parts (b) and (c) to evaluateeach of these components.

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Answered: Mammography and clinical breast…

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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