An owner of a petrol pump with a single attendant wishes to perform a simulation of his operations to see whether any improvement is possible. He studied the system and found that an average of 6 customers arrive for service with random arrival times and form a queue, and the attendant provides service for exactly 9 minutes. For simulating the arrival times of customers, he has selected 10 random numbers with expected length of interval equal to one as: 3.62, 1.78, 1.84, 1.31, 1.27 0.14, 1.71, 0.77, 0.97, 1.32. Find:

(a) The total idle time for the attendant

(b) Total waiting time for the customers; and

(c) Maximum queue length during this period. If the service time is reduced to 6 minutes what is the quality of the service?