If ?1 < ?2, derive the moment-generating function of a

Chapter 4, Problem 141E

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QUESTION:

Problem 141E

If θ1 < θ2, derive the moment-generating function of a random variable that has a uniform distribution on the interval 1, θ2).

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QUESTION:

Problem 141E

If θ1 < θ2, derive the moment-generating function of a random variable that has a uniform distribution on the interval 1, θ2).

ANSWER:

Solution:

Step 1 of 2:

Let X follows Uniform distribution with the limits  and

Then, f(x) =

The claim is to derive the moment generating function of a random variable that has a uniform distribution on the interval (, ), when <


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