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01-01-2024
Mathematics

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5.9.5 Random variables X and Y have joint PDF
fX,Y(x,y)=ce^-(2x²-4xy+4y²)
(a) What are E[X] and E[Y]?
(b) Find the correlation coefficient rhoχ.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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