Q1. (30 marks)

There is only one telephone in a public booth of a railway station. The following tables indicate

the distribution of callers arrival time and duration of the call

Time between arrivals 5 6 7

Probability 0.20 0.700.10

Call duration (Minutes) 2 4 4 5

Probability 0.15 0.6 0.15

Simulate for 10 arrivals of the current system and calculate the average waiting time of

customers and the utilization