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Derive the efficiency of slotted ALOHA by: a) Suppose there are N transmitters, each transmitting with probability p in each slot. What is the probability

Derive the efficiency of slotted ALOHA by:

a) Suppose there are N transmitters, each transmitting with probability p in each slot. What is the probability of successfully delivering a packet in a given slot?

b) What is the value of p that maximizes the success probability in a)?

c) What is the limit of the success probability as N goes to infinity?

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