The Moment Generating Function (MGF) for a random variable X, mgfx (t) is given. Find the probability: P(\X| < 2) Hint: use the uniqueness theorem for MGFS. Simply speaking, if any two MGFS are same, then their distributions are also exactly same [Wikipedia] 3 1 -20t 1 -3t + =e 5t e mgfx(t) = - e 10 5 10

The Moment Generating Function (MGF) for a random variable X, mgfx (t) is given. Find the probability: P(\X| < 2) Hint: use the uniqueness theorem for MGFS. Simply speaking, if any two MGFS are same, then their distributions are also exactly same [Wikipedia] 3 1 -20t 1 -3t + =e 5t e mgfx(t) = - e 10 5 10

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The Moment Generating Function (MGF) for a random variable X, mgfx (t) is
given. Find the probability:
P(\X|< 2)
Hint: use the uniqueness theorem for MGFS. Simply speaking, if any two MGFS are
same, then their distributions are also exactly same [Wikipedia]
1
e-20t
10
1
-3t +
10
2.
+-e5t
mgfx(t)

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