Note that 5% of the population suffers from a particular disease. There is a diagnostic test to identify this disease. If a person who has the disease undergoes the test, 99% the test becomes positive. Similarly, if a person who does not have this disease undergoes this test, 5% the time the test becomes positive. If a randomly selected person undergoes this test and the test becomes positive, what is the probability that he actually does not have the disease? Enter your answer to the nearest FOUR decimal places. 0.4897

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Note that 5% of the population suffers from a
particular disease. There is a diagnostic test to
identify this disease. If a person who has the
disease undergoes the test, 99% the test
becomes positive. Similarly, if a person who
does not have this disease undergoes this test,
5% the time the test becomes positive.
If a randomly selected person undergoes this
test and the test becomes positive, what is the
probability that he actually does not have the
disease? Enter your answer to the nearest
FOUR decimal places.
0.4897
Transcribed Image Text:Note that 5% of the population suffers from a particular disease. There is a diagnostic test to identify this disease. If a person who has the disease undergoes the test, 99% the test becomes positive. Similarly, if a person who does not have this disease undergoes this test, 5% the time the test becomes positive. If a randomly selected person undergoes this test and the test becomes positive, what is the probability that he actually does not have the disease? Enter your answer to the nearest FOUR decimal places. 0.4897
Expert Solution
Step 1

The question is about Baye's theorem

Given :

Prob. of population suffers from disease = 0.05

Prob. of the test is positive given that a person has disease = 0.99

Prob. of the test is positive given that a person does not have disease = 0.05

 

To find :

A prob. that randomly selected person does not have the disease given that the test becomes positive

steps

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