Question: Consider a queue with one server and infinite capacity, with average rate of arrivals of elements and average service time 1/, both variables with their

Consider a queue with one server and infinite capacity, with average rate of arrivals of  elements and average service time 1/, both variables with their respective distributions (not specified, except when the statement do so explicitly). It can be said that: a) if / = 1 then the number of elements in the queue is infinite. b) If the queue is M/M/1, with an average time between arrivals equal to 1, and 50% of the elements arriving in the queue find the server busy so the time service averages 0.5. c) If the service time averages 30 seconds and on average there is 1 element in the queue then 5 elements per minute arrive in the queue. d) if / = 2 then a has on average 2 elements in the queue. e) if / = 0.5 then the average number of elements in the queue is 0.5.

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