Bad gums may mean a bad heart. Researchers discovered that 77% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums.   Only 32% of healthy people have this disease. Suppose that in a certain community heart attacks are quite rare, occurring with only 11% probability.   Let D be the event that a person has the disease and H be the event a person has a heart attack. Find the following probabilities:   a) P(H|D)   b) If 44% of the people in a certain community will have a heart attack, what is the probability that a person in that community with periodontal disease will have a heart attack

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