3- Show that, if the random variables X and Y are N(0 6,0",r) , thên 1 a) E{ fy(y|x)} = =exp{- 20 (2-r) o 27 (2-r) 1 b) E{fy (x)fy(y)} =D

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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3- Show that, if the random variables X and Y are N(0,0,0,o',r) , then
ept-2-
27(2-r²)
1
a) E{f,(y|x)}=
20 (2-r)
1
b) E{fx(x)fy(y)}=-
2no' 4-r
Transcribed Image Text:3- Show that, if the random variables X and Y are N(0,0,0,o',r) , then ept-2- 27(2-r²) 1 a) E{f,(y|x)}= 20 (2-r) 1 b) E{fx(x)fy(y)}=- 2no' 4-r
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