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  • 27-05-2023
  • Mathematics
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For the pair of continuous random variables (X, Y) we have that fx = fx = UNIF[0, 1], the uniform distribution on [0, 1] and X, Y are indepen- dent. Consider the pair of random variables (U, V) given by U = 2X – Y and X = 2Y - X.
a) Calculate fu,v.
b) Are U and V independent?
c) Calculate E[UV]

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