=. 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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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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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