Question: Suppose X and Y are random variables with joint density f(x, y) = c(1 + xy) when |x| < 1, |y| < 1 (a) Are

Suppose X and Y are random variables with joint density f(x, y) = c(1 + xy) when |x| < 1, |y| < 1 (a) Are X and Y independent? Show your work.

(b) Show that X2 and Y 2 are independent with each other.

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