A computer help desk receives new daily customer arrivals according to the following probability distribution:

# Arrivals Probability Random #
0 0.05 01-05
1 0.2 06-25
2 0.3 26-55
3 0.2 56-75
4 0.15 76-90
5 0.1 91-00

The number of customers that the help desk has the capability to serve per day is based on the following probability distribution:

# Served Probability Random #
3 0.5 01-50
4 0.3 51-80
5 0.2 81-00

If the number of arrivals exceeds the # served capability, the customers will receive top priority the next day. The random numbers drawn for a 5-day simulation are as follows:

Arrival Random # Service random #
19 95
34 95
39 92
90 33
97 85

What will the average number of delays be for the 5-day simulation?

Day # arrivals # served delays
1 1 1 0
2 2 2 0
3 2 2 0
4 4 3 1
5 6 5 1

Average delayed = (0 + 0 + 0 + 1 + 1 )/5 = 0.4/day