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Discrete Random Variables

Discrete Random Variables - Discrete Random Variables Math...

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Discrete Random Variables Math 30530, Fall 2013 September 18, 2013 Math 30530 (Fall 2012) Discrete RVs September 18, 2013 1 / 2
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Setup for discrete random variables To each outcome ω of experiment, assign numerical value X ( ω ) Math 30530 (Fall 2012) Discrete RVs September 18, 2013 2 / 2
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Setup for discrete random variables To each outcome ω of experiment, assign numerical value X ( ω ) Function X : Ω R is a random variable Math 30530 (Fall 2012) Discrete RVs September 18, 2013 2 / 2
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Setup for discrete random variables To each outcome ω of experiment, assign numerical value X ( ω ) Function X : Ω R is a random variable If set of values that X takes on is finite or countable, X is discrete Math 30530 (Fall 2012) Discrete RVs September 18, 2013 2 / 2
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Setup for discrete random variables To each outcome ω of experiment, assign numerical value X ( ω ) Function X : Ω R is a random variable If set of values that X takes on is finite or countable, X is discrete For each x R , { ω | X ( ω ) = x } = { X = x } = “ X = x 00 is an event Math 30530 (Fall 2012) Discrete RVs September 18, 2013 2 / 2
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