The pdf of random variable X has the form:- {cx0,fx(x) =cx(1-x²), 0≤ x ≤ 1;otherwisefor some constant c> 0.(a) Find c and plot the pdf.(b) Find and plot the cdf of X.(c) Compute P(0 < X < 0.6), P(X = 1) and P(0.2 < X < 0.5).(d) Compute the mean and variance of X.

Answered: The pdf of random variable X has the…

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 pdf of random variable X has the form: fx(x) = [cx(1-x²), 0≤x≤ 1; 0, otherwise for some constant c> 0. (a) Find e and plot the pdf. (b) Find and plot the cdf of X. (c) Compute P(0 < X < 0.6), P(X = 1) and P(0.2 < X < 0.5). (d) Compute the mean and variance of X.