(9 points) A hotel has 300 rooms. It has accepted reservations for 324 rooms. Suppose that from historical data, we know the probability of rm-shows is 0.1 (i.e., 10% of the people who book rooms, do not arrive to take the room.) Assume noshows are independent across all 324 reservations. Let X be the number of noshows. (a) What is the expectation of X? (b) What is the variance of X? (c) What is the probability that the hotel is \"overbooked\" (i.e., the hotel will not have enough rooms for all those who arrive)