Write a MATLAB program to generate 10,000 realizations of a uniform random variables on (0, 1), and use the formular derived above to convert them into 10,000 realizations of a Laplacian random variable. Plot both the PDF of the Laplacian random variable and a normalized histogram of these 10,000 samples of the Laplacian random variable (normailzed so that the area under the histogram is equal to 1).

The Laplacian random variable has a PDF fx (x) = 1 Show that v = Fx(u) has the following form V= 21:21, - < x