Question 1200 For an M/M/I queue with mean interarrival time 1.25 minutes and mean service time 1 minute, find out the values of W., W.L.L. and p. For each variable, interpret its meaning in words. Be sure to state all your units and show the calculation process. Question 2 (20%): Draw the rate diagram to illustrate the birth-and-death process of an MM/5 model, and list out its balance equations. Question 3 (60%); A queucing network is shown below. It has 8 servers (SI to S8), whose service rates are denoted by pow. Each server can be treated as an independent M/M 1 node. There are two input sources i and As, which follow the Poisson process. The transformation probability between each pair of server nodes is represented by the number above the path. Please find out the value of 1.4.p.L LW, W, for each server node. You can use Microsoft Excel to calculate the final answers, but the calculation process and related equations should be provided in order to receive the full credits. 0.5 2,=150 H-130 S7 -200 0.4 3.-150 S4 0.6 SI 0.5 0.3 0.2 0.4 0.4 S3 0.2 SS 0.4 S2 14-100 0.3 Hs 150 0.8 0.5 150 2=100 S8 0.5 -150 S6 H-120