Consider the sample time approximation to the M/M/1 queue in figure 6.5. a) Give the steady-state probabilities for this chain (no explanations or calculations required– just the answer). In parts b)...

a) Give the steady-state probabilities for this chain (no explanations or calculations required– just the answer). In parts b) to g) do not use reversibility and do not use Burke’s theorem. Let Xn be the state of the system at time n and let D_n
be a random variable taking on the value 1 if a departure occurs between n and (n + 1), and the value 0 if no departure occurs. Assume that the system is in steady state at time n.