A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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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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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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