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The random variables X and Y have the joint density: fX,Y(x,y)={x+y 0<x<1,0<y<1 0 otherwise} For each...

The random variables X and Y have the joint density:

fX,Y(x,y)={x+y 0<x<1,0<y<1

0 otherwise}



For each of the following, please provide answers as fractions, or find the answer to three decimal places:

(a) Var(X)

(b) Var(Y)

(c) Cov(X,Y)

(d) ρ(X,Y)

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