Transcription of Chapter 3 Continuous Random Variables
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Chapter 3 Continuous Random Variables
Chapter 3 Continuous Random IntroductionRather thansummingprobabilities related to discrete Random Variables , here forcontinuous Random Variables , thedensitycurve isintegratedto determine (Introduction)Patient s number of visits,X, and duration of visit, =value of function,F(3) = P(Y < 3) = 5/12x , pmf f(x) probability (distribution): cdf F(x) probability less than = sum of probabilityat specific valuesP(X < ) = P(X = 0) + P(X = 1)= + = (X = 2) = , pdf f(y) = y/6, 2 < y < 4probability less than 3 = area under curve,P(Y < 3) = 5/12xprobability at 3,P(Y = 3) = 0probability less than = value of functionF( ) = P(X < ) = : Comparing discrete and Continuous distributions7374 Chapter 3.
Chapter 3 Continuous Random Variables 3.1 Introduction Rather than summing probabilities related to discrete random variables, here for continuous random variables, the density curve is integrated to determine probability.
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