A laboratory blood test is 99% effective in detec ertain disease, when it is in fact present. However, t Iso yields a false positive result for 0.5% of the h person tested (that is, if a healthy person is tested, ther robability 0.005, the test will imply he has the disea .1 percent of the population actually has the disease, he probability that a person has the disease given that esult is positive?

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A laboratory blood test is 99% effective in detecting a
certain disease, when it is in fact present. However, the test
also yields a false positive result for 0.5% of the healthy
person tested (that is, if a healthy person is tested, then, with
probability 0.005, the test will imply he has the disease). If
0.1 percent of the population actually has the disease, what is
the probability that a person has the disease given that his test
result is positive?
Transcribed Image Text:A laboratory blood test is 99% effective in detecting a certain disease, when it is in fact present. However, the test also yields a false positive result for 0.5% of the healthy person tested (that is, if a healthy person is tested, then, with probability 0.005, the test will imply he has the disease). If 0.1 percent of the population actually has the disease, what is the probability that a person has the disease given that his test result is positive?
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