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Let's assume three nodes A, B and C, within communication range of each other try to access the wireless medium using slotted Aloha. Each node

Let's assume three nodes A, B and C, within communication range of each other try to access the wireless medium using slotted Aloha. Each node transmits in a slot with probability p. If we number the slots as 1, 2, 3, ...., then answer the following questions:

(a) What is the probability that node A succeeds for the first time in slot 3?

(b) What is the probability that some node (A, B or C) succeeds in slot 3?

(c) What is the probability that the first success occurs in slot 3?

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