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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 30E
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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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