(Moment Generating Function) 1. Consider the following pdf. for x>0 f(x) =- elsewhere (1) Find the mgf of the distribution. (2) Find the 4 M'x (0) and 42'= M"x (0) . Check the above pdf is exponential with 2=1 and mean and variance in the class.

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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(Moment Generating Function)
1. Consider the following pdf.
for x>0
f(x)=-
elsewhere
(1) Find the mgf of the distribution.
(2) Find the 4= M'x (0) and 42'= M"x (0) .
Check the above pdf is exponential with 2=1 and mean and variance in the class.
Transcribed Image Text:(Moment Generating Function) 1. Consider the following pdf. for x>0 f(x)=- elsewhere (1) Find the mgf of the distribution. (2) Find the 4= M'x (0) and 42'= M"x (0) . Check the above pdf is exponential with 2=1 and mean and variance in the class.
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