Please give answers of my questions that I have uploaded as an image. Note: Subparts 2 and 3 must be answered using only the formula derived insubpart 1. You can use Method of Transforms in subpart 1 however it is notnecessary to use it. You are given the probability distribution function (PDF) of a continuous randomvariable X is fx(x). Let Y be a continuous random variable such that Y = aX +%3Db, where a and b are non-zero real constants.1. Find the PDF of Y in terms of fx, a, and b.2. Let X be an exponential random variable with parameter 2. When will Yalso be an exponential random variable?3. Let X be a normal random variable with mean u and variance o² . Whenwill Y also be a normal random variable?

You are given the probability distribution function (PDF) of a continuous random variable X is fy(x). Let Y be a continuous random variable such that Y = aX + b, where a and b are non-zero real constants. 1. Find the PDF of Y in terms of fx, a, and 5. 2. Let X be an exponential random variable with parameter 1. When will Y also be an exponential random variable? 3. Let X be a normal random variable with mean u and variance o² . When will Y also be a normal random variable?

You are given the probability distribution function (PDF) of a continuous random variable X is fy(x). Let Y be a continuous random variable such that Y = aX + b, where a and b are non-zero real constants. 1. Find the PDF of Y in terms of fx, a, and 5. 2. Let X be an exponential random variable with parameter 1. When will Y also be an exponential random variable? 3. Let X be a normal random variable with mean u and variance o² . When will Y also be a normal random variable?

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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