Problem 1: Let V ~ Geom(p), that is its pmf is fv (v ) _ 1 - P)" p for DEN 0 else a) It was shown in class E[V] = 1/p. Calculate Var[V]. - 1.5 pts (Hint: First calculate E[V(V - 1)]) b) Define the event A = {V> s}. Explicitly write out the pmf of VA. - 2 pts Problem 2: Let T ~ Pois()), that is its pmf is forte N fr (t ) = 0 else It was shown in class E - 1. Calculate Var[7]. - 1.5 pts (Hint: First calculate E[T(T- 1)])