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An airport hotel has 100 rooms. On any given night, it takes up to 105 reservations, because of the possibility of noshows. Past records indicate that the number of daily reservations is uniformly distributed over the integer range [96, 105]. That is, each integer number in this range has an equal probability, .1, of showing up. The noshows are represented by the distribution in Table.
Number 

of NoShows 
Probability 
0 
.10 
1 
.20 
2 
.25 
3 
.30 
4 
.10 
5 
.05 
Develop a simulation model to find the following measures of performance of this booking system: the expected number of rooms used per night and the percentage of nights when more than 100 rooms are claimed.
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