Final answer:
The probability that Kevin has diabetes and the test predicts he has diabetes can be calculated using conditional probability. The probability is approximately 0.00796875.
Step-by-step explanation:
The probability that Kevin has diabetes and the test predicts he has diabetes can be calculated using conditional probability. Let's assume D represents the event that Kevin has diabetes and T represents the event that the test predicts he has diabetes. We are given P(D) = 0.0375 and P(T|D) = 0.2125. We can use the formula for conditional probability:
P(D and T) = P(D) * P(T|D) = 0.0375 * 0.2125 = 0.00796875.
Therefore, the probability that Kevin has diabetes and the test predicts he has diabetes is approximately 0.00796875.