X and Y are two random variables with variances o? and o,? respectively and r is the coefficient of correlation bėtween them. If U = X + kY and V = X+ Y. Find the Oy value of k so that U and V are uncorrelated.

Q: Determine the variance of Z.

A: Helpful formulas (i)VaX=a2VX(ii)VC=0,where c is the constant(iii)VaX+ bY=a2VX+ b2VY

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