Consider the M/M/1 queue model discussed in the class. The probability that there are n packets in the system is given by P(N-n)-rF(1- where is the load (or utilization) offered to a router. If the router has a buffer capacity of B packets, then packet loss will occur if the number of customers in the system is larger than B. Given the above equation, determine this packet loss probability i.e., P(N>B) of the router. Given =5.4x105 packets/sec, =6x105 packets/sec and B = 50 packets, determine the packet loss probability due to the buffer overflow