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Efficiency of slotted ALOHA: Suppose there are exactly four nodes, all with an infinite number of packets to transmit. Let p be the probability that

Efficiency of slotted ALOHA: Suppose there are exactly four nodes, all with an infinite number of packets to transmit. Let p be the probability that a node transmits in any slot.

a) As a function of p, find the probability that there is a successful transmission in any given slot.

b) Find the value of p that maximizes this expression.

c) What is the maximum efficiency for N=4?

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