=12.14. While performing a computer simulation of a singleserver queueing system, the number of customers in the system is zero for the first 10 minutes, one for the next 17 minutes, two for the next 24 minutes, one for the next 15 minutes, two for the next 16 minutes, and one for the next 18 minutes. After this total of 100 minutes, the number becomes 0 again. Based on these results for the first 100 minutes, perform the following analysis (using the notation for queueing models introduced in Section 11.3).

a. Draw a figure like Figure 12.8 showing the evolution of the number of customers in the system.

b. Develop estimates of P0, P1, P2, P3.

c. Develop estimates of L and Lq.

d. Develop estimates of W and Wq.