X. HOTEL BOOKINGS A hotel has 300 rooms. It has accepted reservations for 324 rooms. Suppose that from historical data, we know that the probability of inn-shows is 0.1 (i.e., 10% of the people who book rooms, do not arrive to take the room). Assume no-shows are independent across all 324 reservations. Let X be the number of no-shows. a) What is the expectation of X? b) What is the variance of X? c) What is the probability that the hotel is \"over-booked\" (i.e., the hotel will not have enough rooms for all those who arrive)