2 3. In an experiment to study the dependence of hypertension on smoking habits, the following data were collected on 180 individuals: Smoking Status Nonsmoker Moderate Smoker Heavy Smoker Hypertension Status Hypertension 21 36 30 No Hypertension 48 26 19 a) What is the probability that a randomly selected individual is experiencing hypertension? b) What is the probability that a randomly selected individual does not have hypertension and is a heavy smoker? c) Given that a heavy smoker is selected at random from this group, what is the probability that the person is experiencing hypertension? d) Are the events “hypertension” and “heavy smoker” independent? Mathematically support your answer. e) Do you think that “hypertension” and favorite color are independent? That is, if you knew that person’s favorite color was blue, would that change the probability that a randomly selected person had high blood pressure? You do NOT need to support your answer mathematical, but please explain your reasoning