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Let f(x,y) = (1+xy)/4, if |x|<1 and |y|<1 and f(x,y) = 0, otherwise be the joint...

  1. Let f(x,y) = (1+xy)/4, if |x|<1 and |y|<1

    and f(x,y) = 0, otherwise

    be the joint probability density function of (X, Y ). (a) Are X and Y independent? (b) Are X2 and Y 2 independent?

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