If X and Y are two independent random variables such that E[X]=2, variance of X = o}, E[Y]= 1, and variance of Y= o, prove that variance [X,Y]=o;o;+2°o + ho. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 23E
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If X and Y are two independent random variables such that E[X]=,, variance of X
= 0?, E[Y]= , and variance of Y=o; ,prove that variance [X,Y]=o°o+ 2°o; + ì;o;.
1 9
Transcribed Image Text:If X and Y are two independent random variables such that E[X]=,, variance of X = 0?, E[Y]= , and variance of Y=o; ,prove that variance [X,Y]=o°o+ 2°o; + ì;o;. 1 9
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