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4-Chapter 7&8 - Chapter 7 Random Random Variables...

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9/26/2009 1 Random Variables and Discrete probability Chapter 7 Distributions 7.2 Random Variables and Probability Distributions A random variable is a function or rule that assigns a numerical value to each simple event in a sample space. A random variable reflects the aspect of a random experiment that is of interest for us. There are two types of random variables: Discrete random variable Continuous random variable. A random variable is discrete if it can assume a countable number of values. A random variable is continuous if it can assume an uncountable number of values. Continuous random variable Discrete random variable Discrete and Continuous Random Variables 0 1 1/2 1/4 1/16 After the first value is defined the second value, and any value thereafter are known. Therefore, the number of values is countable After the first value is defined, any number can be the next one Therefore, the number of values is uncountable 0 1 2 3 ...
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