Consider a router with Minput ports, and assume that all of the traffic arriving on the input ports is routed to one output port (say, for example, the router connection Clemson's network to the Internet). The data rate of the output port is 150 Mbits/sec. The data frames are modeled as having exponentially distributed packet lengths, with an average length of 5,000 bits. The M data sources can each be modeled with an independent Poisson process with packet arrival rate of 300 frames/sec. 5.1 How many data sources can be attached to the router with out the delay in the router exceeding 0.1 msecs? 5.2 If M=60, what is the average number of packets waiting for transmission? 5.3 If M=60, what is the average waiting time in the queue for the output port? 6. Repeat problem 5, but instead assume that the data frames have a fixed (instead of random) length, and each packet is exactly 5,000 bits. Consider a router with Minput ports, and assume that all of the traffic arriving on the input ports is routed to one output port (say, for example, the router connection Clemson's network to the Internet). The data rate of the output port is 150 Mbits/sec. The data frames are modeled as having exponentially distributed packet lengths, with an average length of 5,000 bits. The M data sources can each be modeled with an independent Poisson process with packet arrival rate of 300 frames/sec. 5.1 How many data sources can be attached to the router with out the delay in the router exceeding 0.1 msecs? 5.2 If M=60, what is the average number of packets waiting for transmission? 5.3 If M=60, what is the average waiting time in the queue for the output port? 6. Repeat problem 5, but instead assume that the data frames have a fixed (instead of random) length, and each packet is exactly 5,000 bits