DISCRETE STRUCTURES please help me answer this question I will give you a good rating Thank you!

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter19: Probabilistic Dynamic Programming
Section19.4: Further Examples Of Probabilistic Dynamic Programming Formulations
Problem 7P
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DISCRETE STRUCTURES please help me answer this question I will give you a good rating Thank you!

5. Even though you have no symptoms, your doctor wishes to test
you for a rare disease that only 1 in 10,000 people of your age
contract. The test is 98% accurate, which means that, if you have the
disease, 98% of the times the test will come out positive and 2%
negative. Also, if you do not have the disease, the test will come out
negative 96% of the time and positive 4% of the time. You take the
test and it comes out positive. What is the probability that you have
the disease?
Transcribed Image Text:5. Even though you have no symptoms, your doctor wishes to test you for a rare disease that only 1 in 10,000 people of your age contract. The test is 98% accurate, which means that, if you have the disease, 98% of the times the test will come out positive and 2% negative. Also, if you do not have the disease, the test will come out negative 96% of the time and positive 4% of the time. You take the test and it comes out positive. What is the probability that you have the disease?
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