Question: A queue has three servers. People arrive to the queue at rate and each server has an operation time that is exponentially distributed with mean

A queue has three servers. People arrive to the queue at rate and each server has an operation time that is exponentially distributed with mean 1. The queue is assumed to be in steady state.
(a) Calculate the probability pn that the queue size is n, stating any assumptions made.
(b) Calculate the mean and variance for the number of people waiting in the queue.
A queue has three servers. People arrive to the queue at

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