If X1 and X2 are independent random variables with distribution given by P X;= -1] =P [X; = 1]=1/2 for i=1, 2, then are X1 and X¡ X2 independent?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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Xi is X1 and X2 for i=1,2 respectively. P[Xi=-1] denotes probability at X1=-1 and X2=-1 respectively. similarly,for P[Xi=1] denotes probability at X1=1 and X2=1. and we have to prove that X1 and X2 are independent.

12.. If X1 and X2 are independent random variables with distribution given by P
[X;= -1]=P [X¡ = 1] =1/2 for i=1, 2, then are X, and X1 X2 independent?
Transcribed Image Text:12.. If X1 and X2 are independent random variables with distribution given by P [X;= -1]=P [X¡ = 1] =1/2 for i=1, 2, then are X, and X1 X2 independent?
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