Question: You are told that a single server, birth-death type queue with finite capacity cannot hold more than three customers. The three birth rates are (3,2,1),

You are told that a single server, birth-death type queue with finite capacity cannot hold more than three customers. The three birth rates are (3,2,1), while the death rates are (1,2,2). Find the steady state probabilities of this queue. Also, find L and W. What fraction of potential customers enters the system?

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