Consider a finite buffer M/M/1/N queue where the num- ber of customers, N, is 3. Let 2 = 3.0 and = 4.0. (a) Draw and label the state transition diagram and calculate, numerically, Po, P1, P2, and p3. (b) Calculate the average (mean) delay through the queue (for customers that are not blocked, of course) (c) What is the average time that a customer waits in the waiting line before entering the server? Solution 3.26. . U=4 A=3 capacity = 3 tototo R Are P= 3 P+P+P+P=1 4 3 9 1 P P = 4 16 3 9 27 1 + + + 4 16 64 3 27 -Po 0.36571 64 2.7343 P = 0.27428 P = 0.20571 P = 0.15429 (6) Delay Thruput 1P + 2P +3P = 0.45270s 4(R+P+P) (C)