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If a person tests positive, what is the probability that the person actually has the disease?

If a person tests positive, what is the probability that the person actually has the disease?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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You've Got Cooties! A certain medical test has the following reliability: if a person has cooties the test will show positive with probability 0.95. If a person does not have cooties, the test will show negative with probability 0.6. Overall, 10% of the population has cooties. Give your answers as percentages with two decimal digits, e.g. 93.42%. Hint: Fill in this tree diagram. C = person has cooties. F = person is cooties "free". P = test is positive for the disease. N = test is negative for the disease.
Transcribed Image Text:You've Got Cooties! A certain medical test has the following reliability: if a person has cooties the test will show positive with probability 0.95. If a person does not have cooties, the test will show negative with probability 0.6. Overall, 10% of the population has cooties. Give your answers as percentages with two decimal digits, e.g. 93.42%. Hint: Fill in this tree diagram. C = person has cooties. F = person is cooties "free". P = test is positive for the disease. N = test is negative for the disease.
If a person tests positive, what is the probability that the person actually has the disease? 1) 9.5% O2) 95% 3) 0.5% 4) 45.5% 5) 20.88% 6) 38.36%
Transcribed Image Text:If a person tests positive, what is the probability that the person actually has the disease? 1) 9.5% O2) 95% 3) 0.5% 4) 45.5% 5) 20.88% 6) 38.36%
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