Question: EE 511 Simulation Methods for Stochastic Systems Project #2: Random Number Generation [Waiting] Use the inverse CDF method to generate 1000 independent samples, X i,

EE 511 Simulation Methods for Stochastic Systems Project #2: Random Number Generation [Waiting] Use the inverse CDF method to generate 1000 independent samples, X i, of the exponential random variable with an average waiting time of 0.2 time units. Evaluate the quality of your RNG with goodness of fit tests. [Double Rejection] The random variable X has a bimodal distribution made up of an equally weighted, convex summation of a beta and a triangle distribution: 0.5 Beta ( 8, 5 ) ,0< x 1 f ( x ) = 0.5 ( x 4 ) , 4 < x 5 0.5 ( x 6 ) , 5< x 6 0, else { Implement rejection sampling routines for X. Generate 1000 samples of the random variable using each envelope. Track the rejection rate of your rejection sampling RNGs. The rejection rate is the average number of rejected candidates per sample. This is a measure of the efficiency of your RNG. Turn in: - A summary of your experiments including histograms of your data, any relevant plots, and relevant numerical results - brief discussions of the results - a print out of your code

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