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4.34. Find the moment-generating function of the dis- crete random variable X that has the probability distri- bution (51) 20 f(x) = 2 and use it to determine the values of u and 2. for x = 1,2,3,... 3

4.34. Find the moment-generating function of the dis- crete random variable X that has the probability distri- bution (51) 20 f(x) = 2 and use it to determine the values of u and 2. for x = 1,2,3,... 3

A First Course in Probability (10th Edition)
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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I know that Mx(t) = summation of (etx times f(x)), but I wasn't sure what to do after that.

4.34. Find the moment-generating function of the dis- crete random variable X that has the probability distri- bution 1 f(x) = 2 = 2()* 3 and use it to determine the values of u and 2. for x = 1,2,3,...
Transcribed Image Text:4.34. Find the moment-generating function of the dis- crete random variable X that has the probability distri- bution 1 f(x) = 2 = 2()* 3 and use it to determine the values of u and 2. for x = 1,2,3,...
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Step 1: Given information

The distribution of random variable X that has the probability distribution is given as follows:

f open parentheses x close parentheses equals 2 open parentheses 1 third close parentheses to the power of x space f o r space x equals 1 comma space 2 comma space 3 comma space. space. space. space. space

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