Question

A rare disease exists with which only 1 in 500 individuals is affected. A test for the disease exists, but of course, it is not infallible. A correct positive result (patient actually has the disease) occurs 95% of the time, while a false positive result (patient does not have the disease) occurs 1% of the time. If a randomly selected individual is tested and the result is positive, what is the probability that the individual has the disease?

Name: a rare disease exists with which only 1 in 500 is affected a test for the diseaseexists but of course it is not infallible a correct positive result patient actually has the disease occurs 9 29912
Uploaded: 2021-06-30T08:40:14-08:00
Duration: 4 min 33 s
Channel: Pratyush Raitan
Description: a rare disease exists with which only 1 in 500 is affected a test for the diseaseexists but of course it is not infallible a correct positive result patient actually has the disease occurs 9 29912

          A rare disease exists with which only 1 in 500 individuals is affected. A test for the disease exists, but of course, it is not infallible. A correct positive result (patient actually has the disease) occurs 95% of the time, while a false positive result (patient does not have the disease) occurs 1% of the time.
If a randomly selected individual is tested and the result is positive, what is the probability that the individual has the disease?

Added by Nathan D.

Probability with Applications in Engineering, Science, and Technology

Matthew A. Carlton • Jay L. Devore 2nd Edition

Instant Answer

Solved by Expert Pratyush Raitan

06/30/2021

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A rare disease exists with which only 1 in 500 individuals is affected. A test for the disease exists, but of course, it is not infallible. A correct positive result (patient actually has the disease) occurs 95% of the time, while a false positive result (patient does not have the disease) occurs 1% of the time. If a randomly selected individual is tested and the result is positive, what is the probability that the individual has the disease?