It is estimated that 1% of the population has a certain genetic defect. A medical test is used to determine if people have this defect and, if a person has this defect, the test will correctly indicate this with probability 90%. However, if a person does not have this defect, the test will still indicate that he or she has the defect with probability 9.6%. If a person tests positive for this defect, what is the probability that the person actually has the defect? Express your answer, rounded to three decimal places, if necessary.

It is estimated that 1% of the population has a certain genetic defect. A medical test is used to determine if people have this defect and, if a person has this defect, the test will correctly indicate this with probability 90%. However, if a person does not have this defect, the test will still indicate that he or she has the defect with probability 9.6%. If a person tests positive for this defect, what is the probability that the person actually has the defect? Express your answer, rounded to three decimal places, if necessary.

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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