Let p and p₀ be the two distributions p = 1, 2, 3, 4, 5, 1/3, 0, 0, 2/3, 0 , p₀= 1, 2, 3, 4, 5, 0, 2/3, 0, 0, 1/3 . 10.1. DISCRETE DISTRIBUTIONS 375 (a) Show that p and p₀ have the same first and second moments, but not the same third and fourth moments. (b) Find the ordinary and moment generating functions for p and p₀