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?

Name: A laboratory blood test is 99 percent effective in detecting a certai
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: 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 healthypersons tested. (That is, if a healthy person is tested,