A manufacturer produces items with a rectangular base. Let random variables denote the respective length (X) and width () of the rectangle (in cm). Suppose Xand Yare independent with the following parameter values. EX) = 2, VarlX) = 0.16, EY = 6, Var = 0.32 The perimeter is then defined as 2X+ 2Y. (Round your ansvwers 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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A manufacturer produces items with a rectangular base. Let random variables denote the respective length (X) and width () of the rectangle (in cm). Suppose Xand Yare independent with the following parameter values. EX) = 2, VarlX) = 0.16, EY = 6, Var = 0.32 The perimeter is then defined as 2X+ 2Y. (Round your ansvwers 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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