Let D denote the time between successive departures in a stationary M/M/1 queue with
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Let D denote the time between successive departures in a stationary M/M/1 queue with λ<μ. Show, by conditioning on whether or not a departure has left the system empty, that D is exponential with rate λ.
Hint: By conditioning on whether or not the departure has left the system empty we see that?
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