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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Question

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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