Consider a one-server queuing situation in which the arrival and service rates are given by ln = 10 - n, n = 0, 1, 2, 3 mn =

n 2 + 5, n = 1, 2, 3, 4 This situation is equivalent to reducing the arrival rate and increasing the service rate as the number in the system, n, increases.

(a) Set up the transition diagram and determine the balance equation for the system.

(b) Determine the steady-state probabilities.