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In: Statistics and Probability

(10pts) A particular test is used to determine if an individual has a certain virus. Amongt...

(10pts) A particular test is used to determine if an individual has a certain virus. Amongt the population being tested, 2% has the virus and 98% does not have the virus. The test will arrive at three possible outcomes: Positive, negative, or inconclusive. The following table of values summarizes the various probabilities of the test outcomes for those with the virus and for those without the virus. outcome of test has the virus does not have the virus Positive test 0.96 0.01 Negative test 0.02 0.94 Inconclusive test 0.02 0.05 For example, amongst those individuals who have the virus, the test will yield a negative result with probability 0.02. With this information, compute the following probabilities. a. Prob(has the virus|the test is inconclusive); b. Prob(does not has the virus|the test is inconclusive); c. Prob(the test is inconclusive).

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orchestra answered 1 year ago
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