2. (12 points) A telemarketing executive has determined, by surveying, that, for a particular product, 17% of the people contacted will purchase the product. If seven people are randomly contacted, showing work/explanation to support your answer, (a) what is the probability (preferably to four decimal places) that exactly two people would purchase the product? (b) what is the probability (preferably to four decimal places) that at most two people would purchase the product? (c) what is the probability (preferably to four decimal places) that more than two people would purchase product