this question concerns slotted aloha performance for a four-node system and requires you to use your knowledge of probability. if you need a probability refresher, ask in class or on piazza. suppose four nodes a, b, c, d, are competing for access to a channel using slotted aloha. assume each node has an infinite amount of data to send. each node attempts to transmit in each slot with probability p. the first slot is numbered slot 1 and the second slot is numbered slot 2, and so on. a. what is the probability that node a succeeds for the first time in slot 4? b. what is the probability that some node (either a, b, c, or d) succeeds in slot 5? c. what is the probability that the first success occurs in slot 4? d. what is the efficiency of this four-node system? (hint: the efficiency formula is in the book)
