The moment generating function

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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The moment generating function of the random variable X is given by: M(t) = e^(12t+24.5t^2).

a. How is X distributed?

b. Write the complete pdf of X.

c. Find P(X>28.8).

d. Find P(1.5 < X ≤ 22.5).

e. Find P(0.784 < (X-12)^2 < 188.209).

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