Suppose that a clinical test for a rare disease produces 97% true positives and 95% of true negatives. It is also known that only 0.5% of the general population has the disease. What is the probability that a randomly selected individual with a positive test has the disease?

Suppose that a clinical test for a rare disease produces 97% true positives and 95% of true negatives. It is also known that only 0.5% of the general population has the disease. What is the probability that a randomly selected individual with a positive test has the disease?

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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Suppose that a clinical test for a rare disease produces 97% true positives and 95% of true negatives. It is also known that only 0.5% of the general population has the disease.

What is the probability that a randomly selected individual with a positive test has the disease? Give your answer correct to four decimal places.

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