A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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We have the following information about the random variables \( X \) and \( Y \): \[ \sigma^2_X = 4.7, \, \sigma^2_Y = 8.5, \, \text{and} \, \rho_{XY} = 0.1. \] Calculate the variance of \( Z = 3X + 2Y \). \[ \sigma^2_Z = \]
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Transcribed Image Text:We have the following information about the random variables \( X \) and \( Y \): \[ \sigma^2_X = 4.7, \, \sigma^2_Y = 8.5, \, \text{and} \, \rho_{XY} = 0.1. \] Calculate the variance of \( Z = 3X + 2Y \). \[ \sigma^2_Z = \]
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Step 1: Given

Values of sigma subscript x squared equals 4.7 comma space sigma subscript y squared equals 8.5

And also given that rho subscript x y end subscript equals 0.1


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