It is known that diabetes induces heart attacks and the risk of a diabetic getting a heart attack is .2, while the risk of a heart attack in the general population is .12. It is also known that about 25% in the general population is diabetic. Let D be the event that a person is diabetic and H be the event that a person had a heart attack.
b. What is the probability that a random person in the general population is diabetic and has had a heart attack?
c. What proportion in the general population is not diabetic?
d. What is the probability that a person chosen is diabetic and has had a heart attack?