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 minutes (exponential distribution). There is only 1 server, who can work on only 1 order at a time.

(a) What is the average number of students in line?

(b) What is the average time a student is in the grill area?

(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. How would this affect the average time a student is in the grill area?

(d) Suppose a second server is added and the 2 servers act independently, with each taking an average of 2 minutes. What would be the average time a student is in the system?