Consider an experiment with sample space = {1, 2, 3,..., N} and equiprobable out- comes. Let X be the DRV defined as X(k)= k. Compute E(X) and var(X). Hint: Use the summation identities N k= k=1 N(N+1) 2 N k.: k=1 = N(N + 1)(2N+1) 6