A rare disease exists in which only 1 in 500 are affected. A test for the disease

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A rare disease exists in which only 1 in 500 are affected. A test for the disease exists but of course it is not infallible. A correct positive result (patient actually has the disease) occurs 95% of the time while a false positive result (patient does not have the disease) occurs 1% of the time. If a randomly selected individual is tested and the result is positive, what is the probability that the individual has the disease?
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Probability & Statistics For Engineers & Scientists

ISBN: 9780130415295

7th Edition

Authors: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying

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