2.13 Suppose that 10 terminals randomly access a synchronous TDMA line. In each slot a terminal tried to transmit its message with probability 0.1. Since there is no coordination among the terminals, the messages may collide, in which case the terminal retried in the next slot. (a) What is the probability of collision? (b) What is the probability that a message gets through in a slot? (c) What is the average number of slots required for a message from a particular terminal to get transmitted successfully?

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Chapter1: Combinatorial Analysis
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2.13 Suppose that 10 terminals randomly access a synchronous TDMA line. In
each slot a terminal tried to transmit its message with probability 0.1. Since
there is no coordination among the terminals, the messages may collide, in
which case the terminal retried in the next slot.
(a) What is the probability of collision?
(b) What is the probability that a message gets through in a slot?
(c) What is the average number of slots required for a message from a
particular terminal to get transmitted successfully?
Transcribed Image Text:2.13 Suppose that 10 terminals randomly access a synchronous TDMA line. In each slot a terminal tried to transmit its message with probability 0.1. Since there is no coordination among the terminals, the messages may collide, in which case the terminal retried in the next slot. (a) What is the probability of collision? (b) What is the probability that a message gets through in a slot? (c) What is the average number of slots required for a message from a particular terminal to get transmitted successfully?
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