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=. Let X, Y and Z have the joint pdf x² + y? + z x2 + y? + z2 (2т) 3/2 1+ xyz exp exp where -o < x < ∞, -x∞ < y < ∞ and -o < z <∞. Show that X, Y and Z are p

=. Let X, Y and Z have the joint pdf x² + y? + z x2 + y? + z2 (2т) 3/2 1+ xyz exp exp where -o < x < ∞, -x∞ < y < ∞ and -o < z <∞. Show that X, Y and Z are p

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 30E
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4. Let X, Y and Z have the joint pdf x2 + y? + z2 + y?. (- + (2m) -3/2 exp 1+ xyz exp 2 where -o < x < ∞, -∞ < y < ∞ and -o < z < ∞. Show that X, Y and Z are pairwise independent and that each pair has a bivariate normal distribution.
Transcribed Image Text:4. Let X, Y and Z have the joint pdf x2 + y? + z2 + y?. (- + (2m) -3/2 exp 1+ xyz exp 2 where -o < x < ∞, -∞ < y < ∞ and -o < z < ∞. Show that X, Y and Z are pairwise independent and that each pair has a bivariate normal distribution.
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