Answer the following questions. Prove your answers using derivations, following the properties of summation operator, expectations operator, and variance operator. 2. Define: Suppose that the unit of...

Extracted text: Answer the following questions. Prove your answers using derivations, following the properties of summation operator, expectations operator, and variance operator. 2. Define: Suppose that the unit of measurement of x change as follows: (mX-b)X where c, b, k, and h are constants. How will the following change given this measurement change in X? a. Mean of X (H, or E (X)) b. Variance of X (o, or Var (X)) Covariance of X and Y (Cov(X,Y)) d. Correlation of X and Y (Corr(X,Y)) C.