Generate Sample for continuous Random Variables given Exponential Distribution Using MATLAB

Question

Generate 1000 samples for each of the following continuous random variables:

(a). Exponential distribution with  and

For the above distribution, plot the cumulative distribution function for each set parameters on one figure (you should have two curves on each figure and have overall two figures). In addition, you should also plot the corresponding analytical results (CDF curve based on distribution formulas) on the same figure. In this way, you can verify whether your simulated random variables match with analytical results.

  In addition, calculate the mean value and variance of generated samples for distribution (sample mean and sample variance).

Summary

This question belongs to MATLAB software and discusses about application of MATLAB in mathematics to generate samples for continuous random variables using exponential distribution and to calculate the mean value and variance of generated samples.

Answer is in MATLAB format