Suppose that one person in 1,000 people has a rare genetic disease. There is an excellent test for the disease; 97% of the people with the disease test positive and only 2% of the people who don't have it test positive. What is the probability that someone who tests positive has the disease? What is the probability that someone who tests negative does not have 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 one person in 1,000 people has a rare genetic disease. There is an
excellent test for the disease; 97% of the people with the disease test positive and only 2% of the
people who don't have it test positive. What is the probability that someone who tests positive
has the disease? What is the probability that someone who tests negative does not have the
disease?
Transcribed Image Text:4) (- Suppose that one person in 1,000 people has a rare genetic disease. There is an excellent test for the disease; 97% of the people with the disease test positive and only 2% of the people who don't have it test positive. What is the probability that someone who tests positive has the disease? What is the probability that someone who tests negative does not have the disease?
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