please explain step by step

l. (25%) As shown in the figure, a queuing system consists of three MMI queues with service rates An-2R-2, and 3, respectively. The arrival rate of the system is-. After passing queue 1, a packet is delivered to queue 2 wi probability p and to queue 3 with probability 1-p. After passing queue 2 or 3, a packet leaves the system 1-p Assume the system is stable. Determine (a) The arrival rates to queues 2 and 3: (b) The average time for a packet to spend in the system; c) The optimum p such that the average time is minimized l. (25%) As shown in the figure, a queuing system consists of three MMI queues with service rates An-2R-2, and 3, respectively. The arrival rate of the system is-. After passing queue 1, a packet is delivered to queue 2 wi probability p and to queue 3 with probability 1-p. After passing queue 2 or 3, a packet leaves the system 1-p Assume the system is stable. Determine (a) The arrival rates to queues 2 and 3: (b) The average time for a packet to spend in the system; c) The optimum p such that the average time is minimized