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  3. please show all steps q.4 let x and y be continuou

please show all steps Q.4 Let X and Y be continuous random variables with the joint pdf: f(x,...

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Statistics

please show all steps

Q.4 Let X and Y be continuous random variables with the jointpdf:

f(x, y) = { k(x + y), if (x, y) ∈ 0 ≤ y ≤ x ≤ 1 ; 0otherwise

Answer the question with the equation belowplease

f(x, y) = 2(x + y), for 0 ≤ y ≤ x ≤ 1 and 0otherwise.

(a) Find E[X + Y ] and E[X − Y ]

(b) Find E[XY ]

(c) Find E[ Y | X = x] and E[ X | Y = y].

(d) Find Cov[X, Y

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