What is the probability that your neighbor has the disease

Reference no: EM13193147

Your neighbor wants to check whether he has a particular disease. 0:1% of the population have the disease. There are two tests for the disease: Test A and Test B. If a person has the disease, then Test A and Test B say "YES" with probability 0.95 and 0.90, respectively. If a person doesn't have the disease, then Test A and Test B say NO" with probability 0.96 and 0.98, respectively. The two events "Test A says YES" and "Test B says YES" are conditionally independent given that a person has the disease, and are also conditionally independent given that a person does not have the disease. Your neighbor takes both tests, and both tests say "YES". What is the probability that your neighbor has the disease? Show your work.

Reference no: EM13193147

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