Let X represent the width and Y represent the length of rectangular panels used for interior doors (in inches). Suppose X is normally distributed with a mean of 20 inches and standard deviation of 1.2 inches, and Y is normally distributed with a mean of 4 inches and a standard deviation of 0.65 inches. Furthermore, the covariance between X and Y is 0.325. Consider the perimeter of a panel - that is, consider 2 X+2 Y. What is the expected value of the perimeter of a panel?

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QUESTION 13
Let X represent the width and Y represent the length of rectangular panels used for interior doors (in inches). Suppose X is normally distributed with a mean of 20 inches and standard deviation of 1.2 inches, and Y is normally
distributed with a mean of 4 inches and a standard deviation of 0.65 inches. Furthermore, the covariance between X and Yis 0.325. Consider the perimeter of a panel - that is, consider 2 X + 2 Y.
What is the expected value of the perimeter of a panel?
Transcribed Image Text:QUESTION 13 Let X represent the width and Y represent the length of rectangular panels used for interior doors (in inches). Suppose X is normally distributed with a mean of 20 inches and standard deviation of 1.2 inches, and Y is normally distributed with a mean of 4 inches and a standard deviation of 0.65 inches. Furthermore, the covariance between X and Yis 0.325. Consider the perimeter of a panel - that is, consider 2 X + 2 Y. What is the expected value of the perimeter of a panel?
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