The following table lists the number of homework problems X that appear on a Probability and Statistics exam, and the corresponding probability. Note X is a random variable. Find the moment generating function of X.
The following table lists the number of homework problems X that appear on a Probability and Statistics exam, and the corresponding probability. Note X is a random variable. Find the moment generating function of X.
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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Transcribed Image Text:Question 13
The following table lists the number of homework problems X that appear on a Probability and
Statistics exam, and the corresponding probability. Note X is a random variable. Find the moment
generating function of X.
P(X)
14
.1
15
.2
16
.3
17
.4
Note exp(z) = e^z (the exponential function).
O .1xexp(14t) + .2xexp(15t) + .3xexp(16t) + .4xexp(17t)
.1хеxp(14t)
4xеxp(17t)
O 1
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