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A large number of stations (theoretically infinite) using ALOHA is generating messages according to a Poisson model at the average rate of 50 frames/sec. The duration of all frames is 100 msec. a) What is the frame generation rate G in number of frames generated per unit frame duration? b) What is the probability that a transmitted frame is not successful in the first attempt? c) What is the average throughput in the network in number of frames per second? [Hint: Pr. of success-Pr. of 0 frames generated in a slot]

A large number of stations (theoretically infinite) using ALOHA is generating messages according to a Poisson model at the average rate of 50 frames/sec. The duration of all frames is 100 msec. a) What is the frame generation rate G in number of frames generated per unit frame duration? b) What is the probability that a transmitted frame is not successful in the first attempt? c) What is the average throughput in the network in number of frames per second? [Hint: Pr. of success-Pr. of 0 frames generated in a slot]

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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A large number of stations (theoretically infinite) using ALOHA is generating messages according to a Poisson model at the average rate of 50 frames/sec. The duration of all frames is 100 msec. a) What is the frame generation rate G in number of frames generated per unit frame duration? b) What is the probability that a transmitted frame is not successful in the first attempt? c) What is the average throughput in the network in number of frames per second? [Hint: Pr. of success-Pr. of 0 frames generated in a slot]
Transcribed Image Text:A large number of stations (theoretically infinite) using ALOHA is generating messages according to a Poisson model at the average rate of 50 frames/sec. The duration of all frames is 100 msec. a) What is the frame generation rate G in number of frames generated per unit frame duration? b) What is the probability that a transmitted frame is not successful in the first attempt? c) What is the average throughput in the network in number of frames per second? [Hint: Pr. of success-Pr. of 0 frames generated in a slot]
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