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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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