Problem 6 [14 points]: Let the independent random variable X and Y have binomial distributions with parameters nx = 2, Px = p and ny = 4, py = p, respectively. If Pr(X 2 1) = 7/16 (a) [3 points] Please find p and Pr(Y 2 2). (b) [4 points] Please compute Pr(X = Y). (c) [4 points] Please compute Pr(X > Y). (d) [4 points] Please find the mode of X and Y. Are the distributions of X and Y right-skewed, left-skewed or symmetric