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customers arrive according to a Poisson process at rate λ > 0. Assume that service crew...

customers arrive according to a Poisson process at rate λ > 0.

Assume that service crew start serving a service and it takes a fixed amount of time τ to serve. For t ≧ 0, let X(t) denote the number of customers being served at time t.

What is the distribution of X(t)?

What is E[X(t)]?

math   Statistics-And-Probability   
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