Packets arrive at a router at the rate of 1000 packets per second. In an experiment, the number of arriving packets are counted over a period of 2 milliseconds.
(a) Find the average number of packets that arrive in 2 milliseconds.
(b) Find the probability that exactly 2 packets arrive in 2 milliseconds.
(a) Find the probability that at least 2 packets arrive in 2 milliseconds.
(Assume that the Poisson model applies here).