1) Two nodes x and y are the only nodes in a network that uses slotted ALOHA for medium access. Nodes x retransmission probability is px and it is greater than nodes y retransmission probability, py. a. Express nodes x average throughput as a function of px and py. What is the total efficiency of the protocol in this case? (10pts) b. If px=2py is nodes x average throughput two times larger than that of node y? If yes, why? If not, how can you choose px and py to achieve that? (10pts) Hint: The average throughput of a node in this setting can be modeled through the probability of successfully obtaining a slot. If this probability is for example 0.2, the node is expected to obtain 20% of the slots. If at each successfully slot the throughput that can be obtained is T (this is fixed and depends on the medium), then the average throughput for this node will be 0.2T. Hence, you can use this probability for the throughput (assuming T=1Mbps or in general a fixed quantity).