Customers in LineWestern National Bank is considering opening a drive-thru window for customer service. Management estimates that customers will arrive at the rate of 15 per hour. The teller who will staff the window can service customers at the rate of one every three minutes.Part 1 Assuming Poisson arrivals and exponential service, find1. Utilization of the teller.2. The average number in the waiting line.3. The average number in the system.4. The average waiting time in line.5. The average waiting time in the system, including service.

Please do not give solution in image format thanku 1. A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 13 customers per hour and an average service rate of 20 customers per hour. The average length of time customers will spend in the system is: Select one: a. 0.09286 minutes b. 0.1429 minutes c. 8.571 minutes d. 5.571 minutes 2. A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 10 customers per hour and an average service rate of 13 customers per hour. The probability of 3 customers in the system is : Select one: a.0.895 b.0.5448 c.0.2308 d.0.105

How has technology had an impact on analyzing waiting line systems? How has technologyimproved waiting line performance?