Question: By viewing the (M / M / 1) queue as a special case of the (G / M / 1) queue, find the limiting distribution

By viewing the $M / M / 1$ queue as a special case of the $G / M / 1$ queue, find the limiting distribution of the queue length, embedded at arrival instants. Compare this to the results of Example 2 for the $M / M / s$ queue in the special case that $s=1$.

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