Because a new medical procedure has been shown to be effective in the an illness, a medical screening of the population is proposed. The probability that the test correctly identifies someone with the illness as positive is 0.85, and the probability that the test correctly identifies someone without the illness as negative is 0.90. The incidence of the illness in the general population is 0.002. You take the test and the result is positive. What is the probability that you have the illness?
Because a new medical procedure has been shown to be effective in the an illness, a medical screening of the population is proposed. The probability that the test correctly identifies someone with the illness as positive is 0.85, and the probability that the test correctly identifies someone without the illness as negative is 0.90. The incidence of the illness in the general population is 0.002. You take the test and the result is positive. What is the probability that you have the illness?
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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Transcribed Image Text:Because a new medical procedure has been shown to be effective in the early detection of
an illness, a medical screening of the population is proposed. The probability that the test
correctly identifies someone with the illness as positive is 0.85, and the probability that the test
correctly identifies someone without the illness as negative is 0.90. The incidence of the illness
in the general population is 0.002. You take the test and the result is positive. What is the
probability that you have the illness?
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