Consider the birth and death process with all n 2 (n 1, 2, ), 0 3, 1 2, 2 1, and n 0 for n 3, 4, (a) Display the rate diagram (b) Calculate P0, P1, P2, P3, and Pn for n 4, 5, (c) Calculate L, Lq, W, and Wq ...

Consider the birth-and-death process with all n = 2 (n = 1, 2, . . .), 0

Question:

Consider the birth-and-death process with all μn = 2 (n = 1, 2, . . .), λ0 = 3, λ1 = 2, λ2 = 1, and λn = 0 for n = 3, 4, . . . .
(a) Display the rate diagram.
(b) Calculate P0, P1, P2, P3, and Pn for n = 4, 5, . . . .
(c) Calculate L, Lq, W, and Wq.