I1 A certain random variable X has the probability density function (pdf) given by(x + 1,l1-x,-1≤x≤00≤x≤1fx(x) =and fx (x)=0, otherwise.(a) Find the cumulative distribution function (cdf) of X and give an algorithm togenerate X from a standard uniform random variable U.Find the pdf of Y = X².(b)(c) Determine the probability P(X> 0|X < 1/2).

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Answered: A certain random variable X has the…

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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