Show using MGF technique that if Z, - N(0,1), for i = 1,2,3,4,5 , then U = Ez - x² with 5 degrees of freedom.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 44E
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topic: function of random variable

mgf technique

Show using MGF technique that if Z, ~ N (0,1), for i = 1,2,3,4,5 , then U = Ez ~ x² with
i=1
5 degrees of freedom.
Transcribed Image Text:Show using MGF technique that if Z, ~ N (0,1), for i = 1,2,3,4,5 , then U = Ez ~ x² with i=1 5 degrees of freedom.
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