9.THEORY OF DISTRIBUTIONS Statistics Mr Sepuru, a statistics class representative, during a Wednesday lecture at 11:10decided to let X₁, X2, ..., X₁0 to be the observations from a random sample of size10 from a distribution with density1√√2π0,and ask his fellow students to answer the following questions.f(x) =, -∞0 < x < 00elsewherei) What is the moment generating function of the sample mean?ii) What will be the mean of the sample mean?iii) Show that the variance of the sample mean is 0.1.

It is given that Xi , i = 1, 2,. .......,10 follows given pdf f(x) i.e N(0,1)

Answered: i) What is the moment generating…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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i) What is the moment generating function of the sample mean? ii) What will be the mean of the sample mean? iii) Show that the variance of the sample mean is 0.1.