3. Packet Routing Packets arriving at a switch are routed to either destination A (with probability p) or destination B (with probability 1 p). The destination of each packet is chosen independently of each other. In the time interval [0,1], the number of arriving packets is Poisson()\\). (a) Show that the number of packets routed to A is Poisson distributed. With what parameter? (b) Are the number of packets routed to A and to B independent? 1