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3. Suppose X and Y are continuous random variables with joint PDF given by 6xy OSx51,0 Sys Vx fx,y(x, y) = 0 otherwise a) Find

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3. Suppose X and Y are continuous random variables with joint PDF given by 6xy OSx51,0 Sys Vx fx,y(x, y) = 0 otherwise a) Find fx(x) b) Find fy(y) c) Are X and Y independent? Why / why not? d) Find the conditional PDF of X given Y=y: fx(xly) Find E(X|Y=y) for 0 y = 1 f) Find Var(X[Y=y) for 0

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