. (30 points} Pollster problem. You plan to eonduet a poll to determine the fraction of people interested in your new product. a. (5 points) Suppose you ask u people ifthey are interested in your new product. Let ms denote the answers for 1; E {1, ,n}. (X.- = 1 means they are interested and Xi = 0 means they are not}. Given the responses, how would you estimate the fraction of people interested in your new product? b. (10 points) Let W. denote your estimate based on n responses above. Using the Chebyshev inequality, find a lower bound for the number of people needed to ensure that P{|W - W,|