10 If 0₁ <0₂, derive the moment-generating function of a random variable that has a uniform distribution on the interval (0₁, 0₂). 1' 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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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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
=
II
II
.02
102
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 = II II .02 102 du
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