Question: 4. Consider a router to which packets arrive as a Poisson process at a rate of 4,5 packetsfsec such that the time taken to service

4. Consider a router to which packets arrive as a Poisson process at a rate of 4,5 packetsfsec such that the time taken to service a packet has a Poisson distribution. Suppose that the mean packet length is 250 bytes, and that the output link capacity is 10 Ithps. (a) "What is the mean residence time T, of a packet in the system? (5 points} (b) 'What is the mean number of packets waiting to be processed in the queue? (4 points)

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