A medical test is available to determine whether a patient has a certain disease. To determine the accuracy of the test, a total of 9700 people are tested. Only 100 of these people have the disease, while the other 9600 are disease free. Of the disease-free people, 9300 get a negative result, and 300 get a positive result. The 100 people with the disease all get positive results. Round your answers to four decimal places, if necessary.   Given that a person gets a positive result, what is the probability that the person actually has the disease?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A medical test is available to determine whether a patient has a certain disease. To determine the accuracy of the test, a total of 9700 people are tested. Only 100 of these people have the disease, while the other 9600 are disease free. Of the disease-free people, 9300 get a negative result, and 300 get a positive result. The 100 people with the disease all get positive results. Round your answers to four decimal places, if necessary.

 
Given that a person gets a positive result, what is the probability that the person actually has the disease?
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