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Need correct answer with detailed calculation Suppose nodes A, B, C, D, and E are competing to have access to a shared channel using slotted

Need correct answer with detailed calculation

Suppose nodes A, B, C, D, and E are competing to have access to a shared channel using slotted ALOHA. Each node attempts to transmit in each slot with probability p independently. The first slot is numbered slot 1, the second slot is numbered slot 2, and so on.

(1) What is the probability that node B succeeds three times no later than slot 6?

(2) What is the probability that there are three successful transmissions no later than slot 6?

(3) What is the probability that a node succeeds three times no later than slot 6?

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