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) = 4, Var(X) = 0.17, E(Y) = 7, Var(Y) = 0.39 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?
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) = 4, Var(X) = 0.17, E(Y) = 7, Var(Y) = 0.39 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?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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) = 4, Var(X) = 0.17, E(Y) = 7, Var(Y) = 0.39
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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