Your friend is trying to figure out how much money he will spend at a food truck over the next 400 days. He buys all his coffee and falafel sandwiches there. Each coffee costs $1 and the number of cups of coffee he buys on day i is a random variable Ci with a Poisson distribution with mean = 1. Every day he also buys a $1 falafel sandwich at the food cart with a probability of 50%. The amount of coffee he buys each day is independent of whether he buys lunch at the cart, and his consumption of coffee and lunch is independent across days. (a) Let F be the amount he spends on falafel sandwiches over the next 400 days. Find E[F] and V(F).