Question: A die is loaded so that the probability associated with a given face is proportional to the number on that face. suppose such a die

A die is loaded so that the probability associated with a given face is proportional to the number on that face. suppose such a die is rolled once.

X=twice the number appearing on it Y=1 if an odd number appears and 3 if an even number appears (a) Find the probability functions of X, Y and (X, Y) (b) Determinethe Expected Value of E(XY), E(X), and E(Y) (c) Are X and Y independent?

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