Question: Many diagnostic tests for detecting diseases do not test for the disease directly but for a chemical or biological product of the disease, hence are

Many diagnostic tests for detecting diseases do not test for the disease directly but for a chemical or biological product of the disease, hence are not perfectly reliable. The sensitivity of a test is the probability that the test will be positive when administered to a person who has the disease. The higher the sensitivity, the greater the detection rate and the lower the false negative rate. Suppose the sensitivity of a diagnostic procedure to test whether a person has a particular disease is 85%. A person who actually has the disease is tested for it using this procedure by two independent laboratories. The probability that both test results will be positive is ____ The probability that at least one of the two test results will be positive __

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