If two random variables X, and X, are independent, then var (X,+X,) = var (X,)+ var (X,) var (X,- X,) = var(X,)+ var |

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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Prove the following

If two random variables X, and X, are independent, then
1.
var (X,+ X,)
.= var (X,)+ var (X.
,)
and var (X,- X,) = var(X,)+ var (X,)
Transcribed Image Text:If two random variables X, and X, are independent, then 1. var (X,+ X,) .= var (X,)+ var (X. ,) and var (X,- X,) = var(X,)+ var (X,)
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