The probability that an individual randomly selected from a particular population has a certain disease is 0.04. A diagnostic test correctly detects the presence of the disease 92% of the time and correctly detects the absence of the disease 93% of the time. If the test is applied twice, the two test results are independent, and both are positive, what is the (posterior) probability that the selected individual has the disease? [Hint: Tree diagram with first-generation branches corresponding to Disease and No Disease, and second- and third-generation branches corresponding to results of the two tests.] Need Help? Watch It Read It Submit Answer

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The probability that an individual randomly selected from a particular population has a certain disease is 0.04. A diagnostic test correctly detects the presence of the disease
92% of the time and correctly detects the absence of the disease 93% of the time. If the test is applied twice, the two test results are independent, and both are positive,
what is the (posterior) probability that the selected individual has the disease? [Hint: Tree diagram with first-generation branches corresponding to Disease and No Disease,
and second- and third-generation branches corresponding to results of the two tests.]
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Read It
Watch It
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Transcribed Image Text:The probability that an individual randomly selected from a particular population has a certain disease is 0.04. A diagnostic test correctly detects the presence of the disease 92% of the time and correctly detects the absence of the disease 93% of the time. If the test is applied twice, the two test results are independent, and both are positive, what is the (posterior) probability that the selected individual has the disease? [Hint: Tree diagram with first-generation branches corresponding to Disease and No Disease, and second- and third-generation branches corresponding to results of the two tests.] Need Help? Read It Watch It Submit Answer
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