data here
# tellers	3
arrival rate	18
service rate	22

		Put your
		responses below
capacity	A)
# cars line	B)
# cars system	C)
wait system	D)
wait line	E)
prob < 3	F)
prob 0	G)
serv rate	H)
util	I)

A Bank wants to provide a drive-through window for its customers. Management estimates that customers will arrive in their cars at the arrival rate per hour specified above. The teller(s) who will staff the window can service customers at the rate per hour given above. Assuming Poisson arrivals and exponential service find the: a) capacity utilization of the teller(s)? NOTE - use the number of tellers specified b) average number cars in the waiting line? c) average number of cars in the system? d) average waiting time in the system in minutes, including service? e) average waiting time in line, in minutes? f) What is the probability of having at most 3 customers in the system? g) What is the probability of 0 (zero) customers in the system? h) If there was only one teller and arrival rate is 12 and because of limited space and a desire to provide an acceptable level of service, the bank manager would like to ensure with 95% confidence that not more than 3 cars will be in the system at any one time, what must be the service rate of the single teller to assure this 95% level of service? i) What is the average utilization of this one teller when there is 95% confidence that no more than 3 cars are in the system at one time as the Bank meets its competitive priority?