Consider the following queueing system. In this system, arrivals and departures are according to Poisson distribution with average arrival rate A, and departure rate u, for Queue i, where i = 1,2,3. These three queues are independent from each other. Assume that the arrival rates are; A = 2, A2 = 4, A3 = 4 packets/second, and the departure rates are; 1 = 10, = 5, 3 = 5 packets/second. M A3 Queue 1 Queue 2 Queue 3 H H H3 (a) What is the probability that Queue 1, Queue 2, and Queue 3 have N-3, N2=2, and N3=10 packets, respectively? (b) Assume that the maximum number of packets that all queues can have is 100 packets. What is the probability that Queue 1, Queue 2, and Queue 3 have N-3, N2-2, and N3-10 packets, respectively?