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 .01, the test result will imply he or she has the disease.) If .5 percent of the population has the disease, what is the probability that a person has the disease given that his test result is positive?
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 .01, the test result will imply he or she has the disease.) If .5 percent of the population has the disease, what is the probability that a person has the disease given that his test result is positive?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text: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 .01, the test result
will imply he or she has the disease.) If .5 percent of the population has the disease, what is the
probability that a person has the disease given that his test result is positive?
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