A patient has completed her medical checkup and is waiting to see the report. The report shows that she tested positive for Rett syndrome, which is a rare neurological and developmental disorder. The test result is 99% accurate (i.e., the probability of testing positive given that a patient has the disease is 0.99). Rett syndrome is a rare disease and only one in 10,000 people carry it (i.e., the probability of having the Rett syndrome disease is 0.0001). Using Bayes’ theorem, what are the chances that this patient does actually have the disease? i.e., calculate P(having the Rett syndrome disease | positive test result

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A patient has completed her medical checkup and is waiting to see the report. The report shows that she tested positive for Rett syndrome, which is a rare neurological and developmental disorder. The test result is 99% accurate (i.e., the probability of testing positive given that a patient has the disease is 0.99). Rett syndrome is a rare disease and only one in 10,000 people carry it (i.e., the probability of having the Rett syndrome disease is 0.0001). Using Bayes’ theorem, what are the chances that this patient does actually have the disease? i.e., calculate P(having the Rett syndrome disease | positive test results).

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