Let X, Y, and Z exist as uncorrelated random variables that has a common variance. Get the correlation coefficient between X+Y and Y+Z. Indicate all solutions.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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Let X, Y, and Z exist as uncorrelated random variables that has a common variance. Get the correlation
coefficient between X+Y and Y+Z. Indicate all solutions.
Transcribed Image Text:Let X, Y, and Z exist as uncorrelated random variables that has a common variance. Get the correlation coefficient between X+Y and Y+Z. Indicate all solutions.
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How did E(XY) = E(X)E(Y) if it is not stated that they are independent

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