9. If X, Y have some bivariate density, prove that Var(X – Y) = Var(X)+Var(Y) – 2Cov(X,Y).
9. If X, Y have some bivariate density, prove that Var(X – Y) = Var(X)+Var(Y) – 2Cov(X,Y).
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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![9. If X, Y have some bivariate density, prove that
Var(X – Y) = Var(X)+Var(Y) – 2Cov(X,Y).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F421db798-cca4-4efb-a6a9-3775d86708c7%2F2756d6c4-f74c-41c3-ab5c-6548a133fa30%2F238j6ts_processed.png&w=3840&q=75)
Transcribed Image Text:9. If X, Y have some bivariate density, prove that
Var(X – Y) = Var(X)+Var(Y) – 2Cov(X,Y).
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