(b) (i) Briefly explain how moment generating function of a random variable, y may be used toGenerate its moments.(ii) Let the random variable, y have probability density functionS(t) =kye-1/2yy20, elsewhereWhere k> 0 is a constant.Find the moment generating function of y and use it to evaluate the mean and variance ofy leaving your results in terms of k.

As per bartleby guideline if more than one question asked only first question to be answered kindly…

() Briefly explain how moment generating function of a random variable, y may be used to Generate its moments. (ii) Let the random variable, y have probability density function kye 1/2y, y 20 , elsewhere S(1) = Where k> 0 is a constant. Find the moment generating function of y and use it to evaluate the mean and variance o v leaving vour reculte in t

() Briefly explain how moment generating function of a random variable, y may be used to Generate its moments. (ii) Let the random variable, y have probability density function kye 1/2y, y 20 , elsewhere S(1) = Where k> 0 is a constant. Find the moment generating function of y and use it to evaluate the mean and variance o v leaving vour reculte in t

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 3YT

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