Question: Consider a first come first serve M/M/1 queue, with arrival rate and service rate , where < , that is in steady state.

Consider a first come first serve M/M/1 queue, with arrival rate

λ and service rate μ, where λ < μ, that is in steady state. Given that customer C spends a total of t time units in the system, what is the conditional distribution of the number of others that were present when C arrived?

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