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2. Alice and 10 other users are sending packets using the pure ALOHA protocol. The duration...

2. Alice and 10 other users are sending packets using the pure ALOHA protocol. The duration of a packet is 40 msec. Each user sends a packet (including both originals and retransmissions) following a Poisson process with rate 1/400 packets/msec. (a) What is the chance of success on Alice’ first attempt? (hint: the probability that there is no othertransmission within the vulnerable period of Alice’s attempt) (b) What is the probability that Alice gets exactly k collisions and then a success? (hint: consider a Bernoulli trials process) (c) What is the expected number of transmission attempts needed to successfully send a packet?

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venereology answered 2 days ago
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