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
Probability
Test predicts he has it 0.85
Test predicts he doesn’t have it 0.15
Kevin has diabetes 0.75
Kevin doesn’t have diabetes 0.25
Answers
1) The probability that Kevin has diabetes and the test predicts he has diabetesP=0.75*0.85=0.63752) The probability that Kevin has diabetes and the test predicts the opposite to the true P=0.75*0.15=0.11253) The probability that Kevin not have diabetes and the test predicts it correctlyP=0.25*0.85=0.2125
4) The probability that Kevin not have diabetes and the test predicts he has diabetesP=0.25*0.15=0.0375