We now know that the test predicted that Kevin does not have the disease. Using this information, calculate the probability that Kevin does not have diabetes after the test was taken. Kevin's family has a history of diabetes. The probability that Kevin would inherit this disease is 0.75. Kevin decides to take a test to check if he has the disease. The accuracy of this test is 0.85.

Question

Jocelyn Bowman

Mathematics

12 August, 22:15

We now know that the test predicted that Kevin does not have the disease. Using this information, calculate the probability that Kevin does not have diabetes after the test was taken. Kevin's family has a history of diabetes. The probability that Kevin would inherit this disease is 0.75. Kevin decides to take a test to check if he has the disease. The accuracy of this test is 0.85.

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Landyn Liu · Answer 1

To get the intersection of the both event you can simply multiply the both events because those two events are independent to each other so the formula would be (0.75) time (0.85) and the probability would be 0.6375.