Question: In a multiple access system, 8 stations compete for the time slots of a common channel. The duration of a given slot is 2 seconds.

In a multiple access system, 8 stations compete for the time slots of a common channel. The duration of a given slot is 2 seconds. In any given time slot, every station attempts to transmit with probability p = 1/4, independent of the others. What is the expected time until some station transmits successfully? Suppose you can choose another probability p for each station to use. What is the optimal p to use and what is then the expected time until a successful transmission for some station.

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