Let X and Y be continuous random variables with joint distribution function, F (x,y). Let g (X,Y) and h (X,Y) be functions of X and Y. PROVE If X and Y are independent, then E[XY] = E[X] E[Y]
Let X and Y be continuous random variables with joint distribution function, F (x,y). Let g (X,Y) and h (X,Y) be functions of X and Y. PROVE If X and Y are independent, then E[XY] = E[X] E[Y]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 8E
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PROOF
Let X and Y be continuous random variables with joint distribution function, F (x,y).
Let g (X,Y) and h (X,Y) be
PROVE
If X and Y are independent, then E[XY] = E[X] E[Y]
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