April 2012
Intermediate to advanced
496 pages
12h 21m
English
Content preview from Mathematical Foundations of Computer NetworkingBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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Solutions to Exercises
Chapter 1 Probability
1. Sample space
The sample space for CW is the discrete set {CWMIN, 2 * CWMIN, 4 * CWMIN, ... 2n * CWMIN}, where n is chosen so that 2n * CWMIN < CWMAX. The sample space for backoff, given CW, is a subset of the real line defined by [0, CW].
2. Interpretations of probability
An objective interpretation would be that we have a complete weather model that has an inherent source of randomness. Given this model and the current weather conditions, the model predicts that the probability of a snowstorm is 25%.
A frequentist approach would be to look at all prior days when today’s weather conditions also held and look at the number of such days when there was a snowstorm the next morning. Then, 25% of the ...
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