X 2. A hotel near the university always fils up on the evening before football games. History has shown that when the hotel is fully booked, the number of last-minute cancellations has a mean of 6 and standard deviation of 3. The hotel has overbooked FOUR (4) rooms. The average room rate is $100. When the hotel is overbooked, policy is to find a room in a near-by hotel and to pay for the room for the customer. This usually costs the hotel certain amount of money since rooms booked on such late notice are expensive. What would be the rate that the hotel will have to pay to a near-by hotel (in other words, what is the cost of overbooking a room)? (25 points)