The test returns a positive result in 95% of the cases in which a disease is present, and it returns a positive result in 6% of the cases in which the disease is not present. Furthermore, 1% of the entire population has this disease. Calculate the probability of carrying the disease if the test result is positive.

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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(b) The test returns a positive result in 95% of the cases in which a disease is present, and it
returns a positive result in 6% of the cases in which the disease is not present.
Furthermore, 1% of the entire population has this disease. Calculate the probability of
carrying the disease if the test result is positive.
Transcribed Image Text:(b) The test returns a positive result in 95% of the cases in which a disease is present, and it returns a positive result in 6% of the cases in which the disease is not present. Furthermore, 1% of the entire population has this disease. Calculate the probability of carrying the disease if the test result is positive.
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