2. (14 points) Continuous random variables X and Y have the following joint pdf: fx,y(x, y)...
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2. (14 points) Continuous random variables X and Y have the following joint pdf: fx,y(x, y) = x/2, for 0 x 2, 0 y 1 (a) (2 pts) Find fy (y). (b) (4 pts) Find fx (x) and fy(y|x). (c) (4 pts) Find E[Y]X = x]. (d) (4 pts) Calculate E[E[YIX]] using E[Y|X = x] in part c). 2. (14 points) Continuous random variables X and Y have the following joint pdf: fx,y(x, y) = x/2, for 0 x 2, 0 y 1 (a) (2 pts) Find fy (y). (b) (4 pts) Find fx (x) and fy(y|x). (c) (4 pts) Find E[Y]X = x]. (d) (4 pts) Calculate E[E[YIX]] using E[Y|X = x] in part c).
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