Suppose 5 out of every 10,000 individuals in a country has a rare disease. A test for the disease exists. Individuals known to have the disease test positive 99% of the time. Individuals known to be free of the disease test negative 98% of the time. Suppose an individual from the country is selected at random (with all being equally likely to be selected) and given the test. Given that the individual tests positive, what is the probability that he in fact has the disease? Give the probability as a decimal number to six decimal places.
Suppose 5 out of every 10,000 individuals in a country has a rare disease. A test for the disease exists. Individuals known to have the disease test positive 99% of the time. Individuals known to be free of the disease test negative 98% of the time. Suppose an individual from the country is selected at random (with all being equally likely to be selected) and given the test. Given that the individual tests positive, what is the probability that he in fact has the disease? Give the probability as a decimal number to six decimal places.
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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Suppose 5 out of every 10,000 individuals in a country has a rare disease. A test for the disease exists. Individuals known to have the disease test positive 99% of the time. Individuals known to be free of the disease test negative 98% of the time.
Suppose an individual from the country is selected at random (with all being equally likely to be selected) and given the test. Given that the individual tests positive, what is the probability that he in fact has the disease? Give the probability as a decimal number to six decimal places.
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