Consider the following single queueing system. Interarrival time for customers and the processing times are distributed as follow:

Time between arrivals (minutes)	Probability
30	0.23
60	0.37
90	0.28
120	0.12

Service Time (minutes)	Probability
15	0.35
30	0.30
45	0.25
60	0.10

Perform a simulation for 8 new customers. Use the following set of random numbers for the interarrivals [0.0708, 0.3887, 0.9862, 0.5473, 0.8055, 0.8043, 0.6612], Use the following random numbers for the service time [0.6599, 0.9499, 0.1072, 0.8887, 0.7113, 0.9237, 0. 1178, 0.4023].

Assume that, when the simulation begins there is one customer being serviced (scheduled to be completed in 25 minutes) and there is one customer with 50-minutes service time in the queue.

What was the probability of a customer that waited?

What was the average waiting time for customers who waited?

What was the probability that the server was idle?