Question: 6) (15 pots) Let us consider a GI/M/1 queueing system. The inter-arrival time follows a Uniform distribution U(5, 25) and the service time follows an

6) (15 pots) Let us consider a GI/M/1 queueing system. The inter-arrival time follows a Uniform distribution U(5, 25) and the service time follows an exponential distribution with the rate of 0.1 per minute. We use the following formula to answer this question. W(GUG/1) ^ ( )w,(mm/1) a) Determine the mean waiting time of customers on the queue for the corresponding M/M/1 system. b) Determine the squared coefficients of variance of the inter-arrival time. Calculate the estimation of the waiting time on the queue in the queueing system. (Hint: the coefficient of variance of any exponential distribution is one.)

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