# Lecture19 - GEM2900: Understanding Uncertainty &...

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DSAP, NUS, Semester 1, 2008/2009 – 1 GEM2900: Understanding Berwin Turlach [email protected] Department of Statistics and Applied Probability National University of Singapore

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Expected value or mean DSAP, NUS, Semester 1, 2008/2009 – 147 Let X be a discrete random variable with set of possible values D and p.m.f. p X ( x ) . The expected value or mean value of X , denoted by E[ X ] or μ X , is E[ X ] = μ X = s x D x · p X ( x )
Expected value or mean (cont.) DSAP, NUS, Semester 1, 2008/2009 – 148 E XAMPLE : Assume we roll a fair die. Let X be the points we roll. What is E[ X ] ? What is E[ Y ] , where Y is 0 if we roll an odd number and 1 otherwise? Note that Y can be written as Y = h ( X ) for some function h . If the random variable

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## This note was uploaded on 03/19/2012 for the course SCIENCE 2900 taught by Professor Forgot during the Spring '08 term at National University of Singapore.

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Lecture19 - GEM2900: Understanding Uncertainty &...

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