3.1 If Y is a random variable with moment-generating function m(t) and if Z is given byZ = pY + q. Explain in your own words how you will be able to show that the momentGenerating function of Z is etam(pt).3.2 Use the uniqueness of moment-generating functions to give the distribution of a randomvariable with moment-generating function m(t) = (0.3e' + 0.7)°.

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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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3.1 If Y is a random variable with moment-generating function m(t) and if Z is given by Z = pY + q. Explain in your own words how you will be able to show that the moment Generating function of Z is e"m(pt).