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A customer arriving to a system with arrival rate 2., joins a single-server queue and after being served is sent back to the beginning

 

A customer arriving to a system with arrival rate 2., joins a single-server queue and after being served is sent back to the beginning of the queue with probability p or leaves then system with probability (1-p). We have learned the (typical) average number of customers in the queue is La. How much time does a typical customer spend in the queue?

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