Customers arrive at a single-server facility at a Poisson rate of ; the service time is exponential

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Customers arrive at a single-server facility at a Poisson rate of λ; the service time is exponential with parameter μ. However, if a customer arrives when the server is busy and there are k people in line (k = 0,1, ... ), then the customer decides to wait with a probability of 1/(k+1). Find limiting probabilities.

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