The Grand America Hotel is regarded as one of the most luxurious hotel in the U.S. Because of this, it has become a hotspot for tourists and has ample demand at its low-fare of $375/night. The hotel has a high-fare of $600/night for those who book a stay at the last minute. The hotel finds that the last-minute booking requests are uncertain and follow a Normal distribution with a mean of 25 and a standard deviation of 10