he percentage of people in the population suffering from a certain disease is 32%. There is a test to detect the disease that is quite accurate. Of the people who have the disease and who undergo the test, it is indicated that 2% of them do not have the disease. Of the people who do not have the disease and who undergo the test, 2% of them are reported to have the disease. Suppose a person takes the test and indicates that they have the disease. Find the probability that the person does have the disease. Round your answer to two decimal places.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The percentage of people in the population suffering from a certain disease is 32%. There is a test to detect the disease that is quite accurate. Of the people who have the disease and who undergo the test, it is indicated that 2% of them do not have the disease. Of the people who do not have the disease and who undergo the test, 2% of them are reported to have the disease. Suppose a person takes the test and indicates that they have the disease. Find the probability that the person does have the disease. Round your answer to two decimal places.

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Step 1

Obtain the probability that person does have the disease if the person takes the test and indicates that they have the disease.

 

The probability that person does have the disease if the person takes the test and indicates that they have the disease is obtained below as follows:

 

From the information given that,

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