Use Matlab to do the following:

a) generate N=1000 samples of a uniform random variable (X) using the Rand() command. this uniform RV should have the range of -1 to +3.

b) generate (estimate) and plot the PDF of X from the samples. you are not allowed to use the histogram() command, any commands from the Matlab Statistics toolbox, or any routines from the companion textbook website.

c) compute the expected value of X (average value) from the samples.

d) generate (estimate) and plot the CDF of X from the PDF in part b.

e) derive a new random variable Y using Y=X^2