Question: Consider a birth-and-death process with just three attainable states (0, 1, and 2), for which the steady-state probabilities are P0, P1, and P2, respectively. The

Consider a birth-and-death process with just three attainable states (0, 1, and 2), for which the steady-state probabilities are P0, P1, and P2, respectively. The birth-and-death rates are summarized in the following table:

(a) Construct the rate diagram for this birth-and-death process.
(b) Develop the balance equations.
(c) Solve these equations to find P0, P1, and P2.
(d) Use the general formulas for the birth-and-death process to calculate P0, P1, and P2. Also calculate L, Lq, W, and Wq.

State Birth Rate Death Rate 0 0 2

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