Let and be random variables with means x and y, variances 2x and 2y, and correlation coefficient X, Y (a) Find the value of the constant which minimizes (b) Find the value of when is given as determined in part (a)

Question: Let and be random variables with means x and y, variances 2x and 2y, and correlation coefficient X, Y. (a) Find the value of

Let and be random variables with means μx and μy, variances σ2x and σ2y, and correlation coefficient ρ X, Y.
(a) Find the value of the constant which minimizes.
(b) Find the value of when is given as determined in part (a).

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