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.   Find the probability that the test gives the correct result for a person who has the disease.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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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.

 
Find the probability that the test gives the correct result for a person who has the disease.
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