{ ex for x < 0, f(x) = 0 otherwise.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
Let X be a random variable. The probability density
given by {see picture}.
The following question are asked:
1) Obtain the moment generating function of X, for t >−1.
2) Compute E(e2X ) and E(X3) by using the moment generating function of X.
If possible, can you give an explanation with the solution.

Transcribed Image Text:ex for x < 0,
f(x) =
0 otherwise.
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