Gamma Distribution. What are the probability density funcion and mean of X if its moment-generating funciton is M(t) = 3/(3-t), t < 3?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 22E
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Gamma Distribution.

What are the probability density funcion and mean of X if its moment-generating funciton is M(t) = 3/(3-t), t < 3?

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