1. Suppose that the number of calls received per day by the MGA Campus Police follows a Poisson distribution with mean equal to 6.5 calls. (a) What is the probability that, on a given day, the MGA Campus Police receives exactly 5 calls? (b) What is the probability that they will receive more than 24 calls in three days? (c) What is the probability that they will receive at most 2 calls in half a day? (d) What is the probability that, on a given day, the MGA Campus Police will receive at least 18 and at most 24 calls? (e) Suppose that the daily cost to respond to Y calls is 150 + 100Y dollars. What is the expected value of the daily cost (basically find E(150 + 100Y))?