Stat400Lec10(Ch3.4,3.7) - Stat 400 Lecture 10 Spring 2012...

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Stat 400 Lecture 10 Spring 2012 Review (3.3) Continuous random variable and its c.d.f. Probability density function (p.d.f.), its properties. Mean, variance, moment generating function Percentiles for p.d.f. Comparison between discrete and continuous random variables Today’s Lecture (3.4,3.7) Uniform distribution, its mean, variance, m.g.f. Exponential distribution and its mean, variance. Memoryless properties of exponential distribution. Cauchy distribution, GOT A MOMENT? 1 of 9
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Spring 2012 Uniform distribution X has a uniform distribution on the interval [ a,b ] if X is equally likely to fall anywhere in the interval [ a,b ] . We write X U ( a,b ) . The p.d.f of X is f X ( x ) = 1 b - a if a x b 0 otherwise Distribution function F X ( x ) : F X ( x ) = 0 , if x < a, x - a b - a , if a x b, 1 , if x > b. Plot of
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This note was uploaded on 03/14/2012 for the course STAT 400 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.

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Stat400Lec10(Ch3.4,3.7) - Stat 400 Lecture 10 Spring 2012...

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