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A patient named Fred is tested for a disease called conditionitis- a m.pdf

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A patient named Fred is tested for a disease called conditionitis, a medical condition that afflicts 1% of the population. The test result is positive, i.e., the test claims that Fred has the disease. Let D be the event that Fred has the disease and T be the event that he tests positive. Suppose that the test is 95% accurate"; there are different measures of the accuracy of a test, but in this problem it is assumed to mean that P ( T D ) = 0.95 and P ( T c D c ) = 0.95 . (a) Find the conditional probability that Fred has conditionitis, given the evidence provided by the test result. (b) Fred, who tested positive for conditionitis, decides to get tested a second time. The new test is independent of the original test (given his disease status) and has the same sensitivity and specicity. Unfortunately for Fred, he tests positive a second time. Find the probability that Fred has the disease.

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A patient named Fred is tested for a disease called conditionitis, a medical condition that afflicts 1% of the population. The test result is positive, i.e., the test claims that Fred has the disease. Let D be the event that Fred has the disease and T be the event that he tests positive. Suppose that the test is 95% accurate"; there are different measures of the accuracy of a test, but in this problem it is assumed to mean that P ( T D ) = 0.95 and P ( T c D c ) = 0.95 . (a) Find the conditional probability that Fred has conditionitis, given the evidence provided by the test result. (b) Fred, who tested positive for conditionitis, decides to get tested a second time. The new test is independent of the original test (given his disease status) and has the same sensitivity and specicity. Unfortunately for Fred, he tests positive a second time. Find the probability that Fred has the disease

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  • 1. A patient named Fred is tested for a disease called conditionitis, a medical condition that afflicts 1% of the population. The test result is positive, i.e., the test claims that Fred has the disease. Let D be the event that Fred has the disease and T be the event that he tests positive. Suppose that the test is 95% accurate"; there are different measures of the accuracy of a test, but in this problem it is assumed to mean that P ( T D ) = 0.95 and P ( T c D c ) = 0.95 . (a) Find the conditional probability that Fred has conditionitis, given the evidence provided by the test result. (b) Fred, who tested positive for conditionitis, decides to get tested a second time. The new test is independent of the original test (given his disease status) and has the same sensitivity and specicity. Unfortunately for Fred, he tests positive a second time. Find the probability that Fred has the disease