I need this answer quickly

Question 1 40 Points 1. Show that the maximum efficiency of pure ALOHA is 1/(2e). Note: This problem is easy if you have completed the problem above! 2. Consider two nodes, A and B, that use the slotted ALOHA protocol to contend for a channel. Suppose node A has more data to transmit than node B, and node A's retransmission probability is greater than node B's retransmission probability, a. Provide a formula for node A's average throughput. What is the total efficiency of the protocol with these two nodes? b.lf is node A's average throughput twice as large as that of node B? Why or why not? If not, how can you choose c. In general, suppose there are N nodes, among which node A has retransmission probability 2p and all other nodes have retransmission probability p. Provide expressions to compute the average throughputs of node A and of any other node