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Consider slotted ALOHA. Assume that three active nodes, A, B and C, are competing for access to a channel and each node has an infinite

Consider slotted ALOHA. Assume that three active nodes, A, B and C, are competing for access to a channel and each node has an infinite number of packets to send. Given that each node attempts to transmit in each slot with probability p.

A. What is the probability that A succeeds for the first time in slot 3?

B. What is the probability that some node (either A, B or C) succeeds in slot 4?

C. What is the probability that the first success occurs in slot 2?

D. What is the efficiency of this three-node system?

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