(a) Let X be uniform on [1,1], andY = X 3 . Find =Corr{X,Y} and explain...

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(a) Let X be uniform on [−1,1], andY = X3. Find ρ =Corr{X,Y} and explain why ρ ≠ 1 while the association (or dependence) is perfect and positive.

(b) Solve the same problem for Y = X2k+1, where k is a positive integer.

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