3. Random variables X and Y have joint PDF fxx(z,y) = { Ary 0SIS1,0SS1 otherwise a) What are E[X] and Var[X]? b) What are E[Y] and Var[Y]? c) What is Cov[X, Y]? d) What is E[X +Y] ? e) What is Var[X +Y] ?

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A: Given;  A\(B intersection C) =(A\B) union (A\C).

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A: Hello, since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

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A: Solution: From the given information, the joint distribution is

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A: Cov(X, Y ) = 5 & We have to find Cov(3X + 4, 9Y )

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