The statement of the problem is 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
ProbabilityTest predicts he has it 0.85Test predicts he doesn’t have it 0.15Kevin has diabetes 0.75Kevin doesn’t have diabetes 0.25 Answers1) The probability that Kevin has diabetes and the test predicts he has diabetes
P=0.75*0.85=0.6375
2) The probability that Kevin has diabetes and the test predicts the opposite to the true
P=0.75*0.15=0.1125
3) The probability that Kevin not have diabetes and the test predicts it correctly
P=0.25*0.85=0.2125
4) The probability that Kevin not have diabetes and the test predicts he has diabetes
P=0.25*0.15=0.0375