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The random variable A has range (0, 1), and p.d.I. given by f(x)=3(x-1)², 0

The random variable A has range (0, 1), and p.d.I. given by f(x)=3(x-1)², 0

MATLAB: An Introduction with Applications
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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The random variable X has range (0, 1), and p.d.f. given by f(x) = 3(x - 1)², 0 < x < 1. (a) Explain why this is a valid p.d.f. Make sure you investigate all the requirements for a valid p.d.f. and report on each of these. (b) Show that the mean of X is 1. (c) A new random variable Y, has the form Y = 5X-1. Calculate the mean of Y.
Transcribed Image Text:The random variable X has range (0, 1), and p.d.f. given by f(x) = 3(x - 1)², 0 < x < 1. (a) Explain why this is a valid p.d.f. Make sure you investigate all the requirements for a valid p.d.f. and report on each of these. (b) Show that the mean of X is 1. (c) A new random variable Y, has the form Y = 5X-1. Calculate the mean of Y.
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