Question

Given the pdf,f(x) = x2/9 on 0 < x 3, develop a generator for this distribution. Generate 1000 values of the random variate, compute the sample mean, and compare it to the true mean of the distribution

Answer 1

MATLAB code to generate the required distribution:

clc;
clear all;
close all;

u=rand(1, 1000); %generate the 1000 random variables
set=3*u.^(1/3); %set-the required random variable collection
%disp(set); %to display the set variables: here it was commneted
disp(mean(set)); %display the mean of operation

%here the mean

Here are the set variables: