Explanation and answers

A manufacturer produces items with a rectangular base. Let random variables denote the respective length (X) and width ()) of the rectangle (in cm). Suppose X and Y are independent with the following parameter values. E(X) = 2, Var(X) = 0.15, E(Y) = 9, Var(Y) = 0.3 The perimeter is then defined as 2X + 2Y. (Round your answers to 4 decimal places, if needed.) (a) What is the mean of the perimeter of the rectangle? (b) What is the standard deviation of the perimeter of the rectangle