The probability distribution of X is given by(a) Find the moment-generating function of X.Mx (t)f(x) =E(X) =E(X²) =Var(X)[2() if x = 1,2,3,...30otherwiseX(b) Use the moment-generating function to find the following:

Given: f(x)=213x if x=1,2,3....0 otherwise

Answered: The probability distribution of X is…

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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The probability distribution of X is given by f(x) = (a) Find the moment-generating function of X. Mx (t) 2() if x = 1,2,3,... - { x + otherwise (b) Use the moment-generating function to find the following: E(X) = E(X²) = Var (X) =