A large population ALOHA user manages to generate 50 request/sec, including both originals and retransmissions. Time is slotted in units of 40 ms: a. What is the chance of success at the first time? b. What is the probability of exactly k collisions and then a success? c. What is the expected number of transmissions attempts needed?

Systems Architecture
7th Edition
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Stephen D. Burd
Chapter8: Data And Network Communication Technology
Section: Chapter Questions
Problem 38VE
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A large population ALOHA user manages to generate 50 request/sec, including both originals and retransmissions. Time is slotted in units of 40 ms:
a. What is the chance of success at the first time?
b. What is the probability of exactly k collisions and then a success?
c. What is the expected number of transmissions attempts needed?

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