q1 Consider one - persistent CSMA. There are two contending stations having a packet ready, and both listen on the channel for an ongoing transmission of a third station to finish. What is the probability that the two contenders will collide? Give it as a number between 0 and 1. q2 Consider the same setting as in the previous question, but now with p - persistent CSMA for some probability value 0 < p < 1. Please find an expression for the probability that both contenders collide. Assume that they are statistically independent. You will need to: work out the probability that they collide in the first time slot, the probability that they collide in the second time slot, the probability that they collide in the k-th time slot etc., combine these probabilities using the law of total probability, and when calculating the end result you will need the sum formula for the (infinite) geometric series.

q1 Consider one - persistent CSMA. There are two contending stations having a packet ready, and both listen on the channel for an ongoing transmission of a third station to finish. What is the probability that the two contenders will collide? Give it as a number between 0 and 1. q2 Consider the same setting as in the previous question, but now with p - persistent CSMA for some probability value 0 < p < 1. Please find an expression for the probability that both contenders collide. Assume that they are statistically independent. You will need to: work out the probability that they collide in the first time slot, the probability that they collide in the second time slot, the probability that they collide in the k-th time slot etc., combine these probabilities using the law of total probability, and when calculating the end result you will need the sum formula for the (infinite) geometric series.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.3: Binomial Probability

Problem 33E

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