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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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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, Var(X) = 0.16, EY) = 6, Var y = 0.32
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?
Transcribed Image Text: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, Var(X) = 0.16, EY) = 6, Var y = 0.32 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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