Let the joint PDF of X and Y be fX,Y (x, y) = c exp x2 2 y2 2 for xy > 0, where c is a

Chapter 7, Problem 73

(choose chapter or problem)

Let the joint PDF of X and Y be fX,Y (x, y) = c exp x2 2 y2 2 for xy > 0, where c is a constant (the joint PDF is 0 for xy 0). (a) Find c to make this a valid joint PDF. (b) What are the marginal distributions of X and Y ? Are X and Y independent? (c) Is (X, Y ) Bivariate Normal?

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