We have the following information about the random variables X and Y: |x=2, |y=−1 , ox = 0.25, c X Calculate the variance of Z = 4X + 2Y, a) when the coefficient of correlation is p(X, Y) = 0.14: 0²/2 = 4. b) when X and Y are independent random variables: 0²2

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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
-
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 -
Expert Solution
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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