An airport hotel has 100 rooms. On any given night, it takes up to 105 reservations, because of the possibility of no-shows. 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 no-shows are represented by the distribution in Table.
|
Number
|
|
|
of No-Shows
|
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.