**Problem 7:** For each of the following moment-generating functions (mgfs), find the following:(i) The probability density function (pdf) of \( X \).(ii) The mean of \( X \).(iii) The variance of \( X \). where- a) \( M(t) = \frac{1}{1 - 3t} , \, t < \frac{1}{3} \)- b) \( M(t) = \frac{3}{3 - t} , \, t < 3 \)

(a) M(t)=13−t t<1/3(b) M(t)=33−t ; t<3

Answered: - For each of the following mgfs find…

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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- For each of the following mgfs find the following: the pdf of X (i) (ii) the mean of X (iii) the variance of X