Problem: Quest Bank is considering opening a drive-through window for customer service. Management estimates that customers will arrive at the rate of 10 per hour. The teller who will staff the window can service at the rate of one every four minutes. Assume Poisson arrivals and exponential service.
Determine:
1. The average utilization of the teller
2. The average number in the waiting line
3. The average waiting time in the system
4. The average number in the system
5. The average waiting time in line
6. The probability that there will not be more than 4 people on the line at any given time.