SOLUTION: A laboratory blood test is 99 percent effective in detecting a certain disease when it is, in fact, present. However, the test also yields a “false positive” result for 1 perce

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Question 1178366: A laboratory blood test is 99 percent effective in detecting a certain disease when it is, in fact, present. However, the test also yields a “false positive” result for 1 percent of the healthy persons tested. (That is, if a healthy person is tested, then, with probability 0.01, the test result will imply he or she has the disease.) If 0.5 percent of the population actually has the disease, what is the probability a person has the disease given that his test result is positive?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
P(+Test) = .99 + .005 = .995
P(A|B) = P(A and B)/P(B)
p(D|+Test) = P(D & Tested+)/P(+Test) = .5(.99)/.995 = .4975
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