Entities arrive at a single-server facility with inter arrival times equal to 3 minutes. (The first entity arrives at time zero.) The service discipline is FIFO and the service times are i.i.d. from the discrete random variables taking values 2, 3 or 5 with probabilities 0.5, 0.3 and 0.2, respectively. the service times of the first ten entities:
are 3, 5, 3, 2, 2, 5, 2, 2, 2, and 3 and
the respective departure times are 3, 8, 11, 13, 15, 20, 22, 24, 26, and 30.
1) What is the average number of entities in the system? show work
2) What is the average queue length? show work