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adom variables, each of them with a x'(2) distribution. a) Find the moment generating function of U = X +3Y + Z. State clearly and justify all steps taken. b) Calculate the expectation E(U) using the moment generating function.

adom variables, each of them with a x'(2) distribution. a) Find the moment generating function of U = X +3Y + Z. State clearly and justify all steps taken. b) Calculate the expectation E(U) using the moment generating function.

MATLAB: An Introduction with Applications
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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Suppose that X,Y and Z are stat istically independent Question random variables, each of them with a x²(2) distribution. (a) Find the moment generating function of U = X + 3Y + Z. State clearly and justify all steps taken. %3D (b) Calculate the expectation E(U) using the moment generating function. Hint: You may use without proof the fact that the moment generating function of a x*(v) random variable W is Mw(1) = (G==)". 2t
Transcribed Image Text:Suppose that X,Y and Z are stat istically independent Question random variables, each of them with a x²(2) distribution. (a) Find the moment generating function of U = X + 3Y + Z. State clearly and justify all steps taken. %3D (b) Calculate the expectation E(U) using the moment generating function. Hint: You may use without proof the fact that the moment generating function of a x*(v) random variable W is Mw(1) = (G==)". 2t
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