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Understanding Random Variables in Probability Theory

Learn the concept of random variables in probability theory, defining them as real-valued functions on sample spaces. Examples provided. Notation and significance explained.

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Understanding Random Variables in Probability Theory

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  1. Chapter 2 Random Variables and Their Distributions 2.1 Random Variables

  2. 2.1 Random variables Definition 2.1 Suppose that S is the sample space of random trial, if X is a real-valued function with domain S, i.e. for each eS，there exists an unique X=X(e), then it is called that X a Random vector. Usually , we denote random variable by notation X, Y, Z or , ,  etc.. For notation convenience, From now on, we denote random variable by r.v.

  3. Example 2.1P26

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