Find the probability that a customer is served x times

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Reference no: EM131191600

An M / M / 1 queue with feedback has the following defining property: When a customer finishes service, departure occurs with probability p; with probability I - p, the customer rejoins the end of the queue.

(i) Find the equilibrium probabilities for the number in the system.

(ii) Find the probability that a customer is served x times.

(iii) Find the expected total time a customer spends in the system.

Reference no: EM131191600

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