(a) Develop an inverse-transform method to generate a random characteristic that has this density function (first plot the density function). Use EXCEL to generate 1000 random based on your method and plot the histogram to verify that they show the behavior you expect. (b) Develop an acceptance rejection algorithm using uniform majorizing function for this density function. Use EXCEL to generate 1000 random based on your method and plot the histogram to verify that they show the behavior you expect.