Write a Matlab script to investigate the distribution of n numbers generated by

Question

Write a Matlab script to investigate the distribution of n numbers generated by Matlabs random number generator rand. Test your code for: n = 10^1,10^2, 10^3, 10^4 10^5. Use a (e.g.) 10 bin histogram (Matlab function hist) to visually display the distribution. Include appropriate title, labels, axis limits etc. Can you think of another useful way to visually display the uniformity of the distribution. Print out your code and an exemplary plot(s) for: n = 10^4 NB: Make sure your code Is well commented.

Explanation / Answer

1.At n=10. The MATLAB script to investigate the distribution of n numbers generated by Matlabs random number generator rand.

Sample output:

Code to copy:

% Obtain a vector of uniform random numbers(0,1).
x = rand(1,10);
% generate histogram plot.
% get the height of the bars.
[N,X] = hist(x,10);
% Generate the plot using the bar function.
bar(X,N,1,'w')
title('Histogram of Uniform Random numbers')
xlabel('X')
ylabel('Frequency')

At n=100.

Sample output:

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