Answered: Q 6.2. Let X = (X₁, X2, X3)T~ MVN(ux,… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.4: Values Of The Trigonometric Functions

Problem 23E

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Q 6.2. Let X = (X1, X2, X3)¹ ~ MVN(µx, Ex) where
-3
-(1)
μx =
and Σχ =
(a) Compute the moment generating function Mx (t) of X.
(b) Compute E(X₁X2).
(c) Let
Y₁
Y₂
Y3
Compute the distribution of Y= (Y₁, Y2, Y3)T.
=
=
6
-2
-2
=
-2
2
1
3X2 X3 +1
X₁ - X₂ - X3
X₁ + 2X₂ - 2.
-2
1
1

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