Question: Random variable X and Y have joint PDf Fx,y(x,y) = ce-(2x2 - 4xy + 4y2) (a) What are E[XJ and ELY]? (b) Find the correlation

Random variable X and Y have joint PDf
Fx,y(x,y) = ce-(2x2 - 4xy + 4y2)
(a) What are E[XJ and ELY]?
(b) Find the correlation coefficient PX.Y.
(c) what are Var[X] and Var[Y]?
(d) What is the constant c?
(e) Are X and Y independent?

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For the joint PDF f XY xy ce 2x24xy4y2 1 we proceed as in Problem 591 to find values for Y X EX EY ... View full answer

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