Let a r.vec. (X,Y) have the joint density f(x,y)= 3/8 (x+y) 2 for |x| 1, |y|1, and

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Let a r.vec. (X,Y) have the joint density f(x,y)= 3/8 (x+y)2 for |x|≤ 1, |y|≤1, and f (x,y)=0 otherwise. Do you expect the r.v.’s to be dependent? Find Corr{X,Y}. (Use of software is recommended.)

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