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## chapter 4Random Process Models

The theory of random processes plays a crucial role in the analysis of communications systems. It comes as no surprise then that the ability to model random processes is crucial to the successful simulation of these systems.

### 4.1 Random Sequences

Consider the case of a single fair (i.e., not loaded) six-sided die. On any given roll, each of the six possible outcomes 1, 2, 3, 4, 5, or 6 is equally likely. Over a large number of rolls, we would expect each outcome to occur on about one-sixth of the rolls. Similarly, for a 20-sided die, we would expect each of the 20 possible outcomes to occur on about 5% of the rolls. In the language of probability, each roll of the die would be considered an experiment. A single, ...

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