A medical research team wished to evaluate a proposed screening for diabetes. The test showed 34 positive results when given to a random sample of 150 individuals free of disease. While it showed 9830 positive results when given to random sample 9850 diabetic patients. Suppose that diabete prevalence in the community is 30%. Find the probability that an individual with a positive screening test will indeed have the disease. a) 0.9998 b) 0.9798 c) 0.6536 d) 0.9566

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A medical research team wished to evaluate a proposed screening for diabetes. The test showed 34 positive results when given to a random sample of 150 individuals free of disease. While it showed 9830 positive results when given to random sample 9850 diabetic patients. Suppose that diabete prevalence in the community is 30%. Find the probability that an individual with a positive screening test will indeed have the disease.

a) 0.9998

b) 0.9798

c) 0.6536

d) 0.9566

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