Packets transmitted in LAN arrive at a router (modeled as M/M/1 queue). The packet arrival rate is modeled as Poisson process with rate L=48 packets/second. The router's queue stores packets on a first come first serve (FIFO). The length of the packets is random. Packet length is exponentially distributed with average M=125 Bytes. It takes 125 microseconds to serve one byte. a) is the service rate random? What is the service rate (if random then find the average service rate)? b) What is the average delay in queue (include service time) c) What is the average waiting time for each packet until it gets served (not including service time)? d) Find the average number of packets in the queue Packets transmitted in LAN arrive at a router (modeled as M/M/1 queue). The packet arrival rate is modeled as Poisson process with rate L=48 packets/second. The router's queue stores packets on a first come first serve (FIFO). The length of the packets is random. Packet length is exponentially distributed with average M=125 Bytes. It takes 125 microseconds to serve one byte. a) is the service rate random? What is the service rate (if random then find the average service rate)? b) What is the average delay in queue (include service time) c) What is the average waiting time for each packet until it gets served (not including service time)? d) Find the average number of packets in the queue