Bill Youngdahl has been collecting data at the TU student grill. He has found? that, between? 5:00 P.M. and? 7:00 P.M., students arrive at the grill at a rate of
25 per hour? (Poisson distributed) and service time takes an average of 2.0 minutes? (negative exponential? distribution). There is only 1? server, who can work on only 1 order at a time.
Please show work
A. What is the average number of customers in line?
B. The average time in minutes in the system?
C. Suppose that a second server can be added to team up with the first (and, in effect, act as one faster server). This would reduce the average service time to 90 seconds. The average time in the system in minutes is?
D. Suppose a second server is added and the 2 servers act independently, with each taking an average of 2.0 minutes. If a second teller is added, the average time a customer spends in the system in minutes is?
E, If a second server is? added, the average time a customer spends in the system? =___ minutes