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1. Consider a network router with an average service time of 1ms. If the average turnaround time of a request sent to the router must

1. Consider a network router with an average service time of 1ms. If the average turnaround time of a request sent to the router must be no more than 4ms, what is the maximum average arrival rate the server can handle? Assume an M/M/1 system. Your answer should be in units of requests/ms.

2. The fancy new CS department espresso bar has an average of 6 people waiting in line to place their order. If new customers arrive at the rate of 2 per minute, how long is the average amount of time customers have to wait in line?

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