(60 pts.) A study of consumer smoking habits is summarized in the following chart: Smoker Non-Smoker Totals 18-22 44 119 163 23-30 37 106 143 31-40 25 56 81 Totals 106 281 387 (a). If one person is randomly selected from this sample, find the probability of selecting someone who is age 31-40 or who does not smoke. (b). If one person is randomly selected from this sample, find the probability of selecting a person who is a non-smoker and who is in the 31-40 age bracket. (c). Are not smoking and being in the 31-40 age bracket independent and WHY? (d). Find the marginal probability of consumers in the 31-40 age bracket. (e). If one person is randomly selected from this sample, what is the probability that the person is a smoker, given that the person is in the 31-40 age bracket? (f). Are smoking and being in the 31-40 age bracket mutually exclusive? WHY OR WHY NOT