Suppose U has a uniform distribution on the interval (0₁, 02). Then, the moment generating function of U is derived as follows. mu(t)= E = = 02 01 702 J0₁ du

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 43E
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If 0₁ <0₂, derive the moment-generating function of a random variable that has a uniform distribution on the interval (0₁, 0₂).
Suppose U has a uniform distribution on the interval (0₁, 0₂). Then, the moment generating function of U is derived as follows.
mu(t)= E
=
=
·0₂
7⁰2
du
Transcribed Image Text:10 If 0₁ <0₂, derive the moment-generating function of a random variable that has a uniform distribution on the interval (0₁, 0₂). Suppose U has a uniform distribution on the interval (0₁, 0₂). Then, the moment generating function of U is derived as follows. mu(t)= E = = ·0₂ 7⁰2 du
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