A screening test for a disease shows a positive result in 94% of all cases when the disease is actually present and in 5% of all cases when it is not. If a result is positive, the test is repeated. Assume that the second test is independent of the first test. If the prevalence of the disease is 1 in 300 and an individual tests positive twice, what is the probability that the individual actually has the disease? Probability is

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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A screening test for a disease shows a positive result in 94% of all cases when the disease is
actually present and in 5% of all cases when it is not. If a result is positive, the test is repeated. Assume
that the second test is independent of the first test. If the prevalence of the disease is 1 in 300 and an
individual tests positive twice, what is the probability that the individual actually has the disease?
Probability is
Transcribed Image Text:A screening test for a disease shows a positive result in 94% of all cases when the disease is actually present and in 5% of all cases when it is not. If a result is positive, the test is repeated. Assume that the second test is independent of the first test. If the prevalence of the disease is 1 in 300 and an individual tests positive twice, what is the probability that the individual actually has the disease? Probability is
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