Question: Two random variables X and Y are defined by the joint density function fx.y (x, y) = 0.258(x)8(y)+0.308(x-4)8(y)+0.188(x)8(y-1)+0.108(x-4)8(y-1) +0.128(x-1)8(y 3)+0.058(x 2)8(y-3) (i) (ii) Find

Two random variables X and Y are defined by the joint density

Two random variables X and Y are defined by the joint density function fx.y (x, y) = 0.258(x)8(y)+0.308(x-4)8(y)+0.188(x)8(y-1)+0.108(x-4)8(y-1) +0.128(x-1)8(y 3)+0.058(x 2)8(y-3) (i) (ii) Find the first and second-order joint moments for these random variables. Find whether X and Y are orthogonal and uncorrelated.

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