Question: X and Y are identically distributed random variables with E[X] = E[Y] = 0 and convariance Cov [X,Y] = 3 and correlation Px,y =1/2. For

X and Y are identically distributed random variables with E[X] = E[Y] = 0 and convariance Cov [X,Y] = 3 and correlation Px,y =1/2. For nonzero constants a and b, U = aX and V = bY.

(a) Find Cov[U,v].

(b) Find the correlation coefficient pu,v,

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