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Buffer siue is Bpackets Poisson amprocess with fate pktwec Service tale = RAL's) plaihee Packet sire is random variable of mcan length L. bytes Figure 2: The simple queue model of an outgoing router link. Consider a simple queue at the outgoing interface of a router shown in Figure 2. Packets arrive following a Poisson process with rate pkts/sec. The outgoing link rate is R bps and the packet size is a random variable with mean size L bytes. We will assume the service time of a packet is negative exponentially distributed with rate parameter R/L pkts/sec. We will assume that the buffer size is infinite and the packets are served following a first-come-first-served policy. Answer the following questions for the following parameter values: -60000 pkts/sec, L = 1500 bytes, and R-1 Gbps. by Little's Law which states that V = D where is the packet arrival rate. What is the mean delay of a packet? 2. What is the probability that an incoming packet will have to wait in the buffer? 3. True or false (explain your answer): If R is doubled, the mean delay will be reduced exactly by half. Buffer siue is Bpackets Poisson amprocess with fate pktwec Service tale = RAL's) plaihee Packet sire is random variable of mcan length L. bytes Figure 2: The simple queue model of an outgoing router link. Consider a simple queue at the outgoing interface of a router shown in Figure 2. Packets arrive following a Poisson process with rate pkts/sec. The outgoing link rate is R bps and the packet size is a random variable with mean size L bytes. We will assume the service time of a packet is negative exponentially distributed with rate parameter R/L pkts/sec. We will assume that the buffer size is infinite and the packets are served following a first-come-first-served policy. Answer the following questions for the following parameter values: -60000 pkts/sec, L = 1500 bytes, and R-1 Gbps. by Little's Law which states that V = D where is the packet arrival rate. What is the mean delay of a packet? 2. What is the probability that an incoming packet will have to wait in the buffer? 3. True or false (explain your answer): If R is doubled, the mean delay will be reduced exactly by half