(1 point) You may make reference to the following three results in this question: Lime= (n-m +1)c i = =(n + 1) 1 12 = {n(n + 1)(2n + 1). The random variable X has the discrete Uniform distribution given by P(X = j) = k for j = 2, 3, 4, . .., 31. Find (to 3 d.p.): Part a) The value of k given as a fraction. Part b) The expectation of X given to three decimal places. Part c) The variance of X given to three decimal places