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 has the disease? Enter your answer to the nearest FOUR decimal places.

MATLAB: An Introduction with Applications
6th Edition
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 has the disease?
Enter your answer to the nearest FOUR
decimal places.
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 has the disease? Enter your answer to the nearest FOUR decimal places.
Expert Solution
Step 1

The question is about Baye's theorem

Given :

Prop. of population suffers from disease = 0.05

Prob. that a person test positive given that he has disease = 0.99

Prob. that a person test positive given that he does not have disease = 0.05

 

To find :

A randomly selected person tests positive, find the prob. that he actually has the disease

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