Let X be a random variable with a probability density function given byfor-1 < x < 2;otherwise.Let Y = X².£x (x) = { 0,²,(a) Find the probability density function of Y using the distribution function method.(b) Find the probability density function of Y using the change of variable method.

Here , we have to find the pdf of Y by two different methods. a) So, we solve the first…

Answered: Let X be a random variable with a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Let X be a random variable with a probability density function given by £x(x) = {{ 0, Let Y = X². ², for-1