Question: A manufacturer produces items with a rectangular base. Let random variables denote the respective length ( X ) and width ( Y ) of the

A manufacturer produces items with a rectangular base. Let random variables denote the respective length (X) and width (Y) of the rectangle (in cm). Suppose X and Y are independent with the following parameter values. E(X) = 2, Var(X) = 0.17, E(Y) = 10, Var(Y) = 0.4 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?

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