Y = (Y₁, Y₂, 43, 44) has f(y) = Ke ² ½ a(y) where m. normal. d fin 2 2 Q(y) = 3y₁ ² + 2 y ₂² + 2y3² + Y 4² +24₁ 4₂ +243 42 - 6.4₁-24₂-643-274 +8 Let X₁ = 21₁ - Y₁ 1. Y X₂ = 4₁-27₂-343 Determine the joint distribution of X₁ and X₂.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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Y=(Y, Y2, Y3 Yy) has
fly)= Ke% Ql4) where
m. normal d fun
Qly)= 3y, + 2y? + 243+ Y
AR
fly)
+24, Y2 t 2Y3 Y2-6.41- 2Y2 -643- 2Y4 +8
Let X,=2Y,- Ya
Xz = Yi-2Y2- 343
Determine the joint distribution of Xi and Xz r
%3D
Transcribed Image Text:Y=(Y, Y2, Y3 Yy) has fly)= Ke% Ql4) where m. normal d fun Qly)= 3y, + 2y? + 243+ Y AR fly) +24, Y2 t 2Y3 Y2-6.41- 2Y2 -643- 2Y4 +8 Let X,=2Y,- Ya Xz = Yi-2Y2- 343 Determine the joint distribution of Xi and Xz r %3D
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