A technician discovered that the cumulative distribution function (CDF) of the lifespan of bulb inyears is given by(ye 10f(y)0 0 bea constant.i) Find the moment generating function of X = -cY.ii) What is the distribution of X?

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Answered: Derive the expected value of Y? Suppose…

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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Derive the expected value of Y? Suppose that a random variable Y is uniformly distributed on an interval (0,1) and let c> 0 be a constant. i) Find the moment generating function of X = -cY. ii) What is the distribution of X?