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Lecture10 - Expected Value and Variance Notes Lecture 10...

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Expected Value and Variance Random Variable (r.v.) Expected Value Variance 10.1 Lecture 10 Expected Value and Variance Text: A Course in Probability by Weiss 7 . 1 7 . 3 STAT 225 Introduction to Probability Models September 16, 2013 Whitney Huang Purdue University Expected Value and Variance Random Variable (r.v.) Expected Value Variance 10.2 Agenda 1 Random Variable (r.v.) 2 Expected Value 3 Variance Notes Notes
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Expected Value and Variance Random Variable (r.v.) Expected Value Variance 10.3 Random Variables A random variable is a real–valued function whose domain is the sample space of a random experiment. In other words, a random variable is a function X : Ω 7→ R , where Ω is the sample space of the random experiment under consideration and R represents the set of all real numbers. Expected Value and Variance Random Variable (r.v.) Expected Value Variance 10.4 Expected Value The expected value of a discrete r.v. X , denoted by E [ X ] is defined by E [ X ] = X x x × p X ( x ) Remark: The expected value of a discrete r.v. is a
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