3. Let X be an exponentially distributed random variable with parameter 2.a) Find and sketch the cdf and pdf of Y = 2- 3X.b) Find the mean and variance of Y.c) Find the distribution of Z = VX. Calculate its mean and variance in Mathematica.d) Obtain characteristic functions of X and Y.

Answered: Image /qna-images/answer/700c90f5-fa0b-49a6-a31c-f38f33b51c0b.jpg

Answered: 3. Let X be an exponentially…

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. Let X be an exponentially distributed random variable with parameter 2. a) Find and sketch the cdf and pdf of Y = 2- 3X. b) Find the mean and variance of Y. c) Find the distribution of Z = VX. Calculate its mean and variance in Mathematica. d) Obtain characteristic functions of X and Y. %3D