Chapter 3 Continuous Random Variables

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Chapter 3Continuous 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 distributions7374Chapter 3.

Chapter 3 Continuous Random Variables ... Figure 3.1: Comparing discrete and continuous distributions 73. 74 Chapter 3. Continuous Random Variables (LECTURE NOTES 5) ... Random variable Xis continuous if probability density function (pdf) fis continuous at all but a nite number of points and possesses the following properties: f(x) 0, for all x,

  Chapter, Distribution, Continuous, Probability, Continuous distribution