Consider Hyatt hotel, Shatin. It has 118 King/Queen rooms. Regular fee for a mid-week stay is

HK$1200. The manager knows there is a possibility of late cancellation or no-shows. As a result they

allow overbooking. Hotel charges 50% penalty for late cancellations or no shows. In the case that more

customers than the available rooms (i.e., 118 rooms) show up, they would be transferred to Hyatt hotel,

HK and hotel incurs cost of HK$2000. What is the critical fractile for this problem