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A hotel has 100 rooms. On any given night, it takes up to 105 reservations, because...

A 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 range 96-105. That is, each integer number in this range has a probability of 10%, of showing up. The no-shows are represented by the distribution in the table below.

Number of No-Shows Probability
0 15%
1 20%
2 35%
3 15%
4 15%

Based on your thirty simulations, determine 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. (Show your simulations and any other information used in the analysis. Don’t send any worksheet.)

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