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: |x = 2, Ủy = −1, ox = 0.25, cỷ =4. of X Calculate the variance of Z = 4X + 2Y, a) when the coefficient of correlation is p(X, Y) = 0.14: 02²/2 - b) when X and Y are independent random variables: 0²/2 -
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Transcribed Image Text:We have the following information about the random variables X and Y: |x = 2, Ủy = −1, ox = 0.25, cỷ =4. of X Calculate the variance of Z = 4X + 2Y, a) when the coefficient of correlation is p(X, Y) = 0.14: 02²/2 - b) when X and Y are independent random variables: 0²/2 -
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Step 1: Provide the given information

a)

It is given that, mu subscript X equals 2 comma space mu subscript Y equals negative 1 comma space sigma subscript X squared equals 0.25 comma space and space sigma subscript Y squared equals 4.

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