1. Develop a random variate (composition method) generator for the random variable X with the probability density function where I represents the indicator function. f(x) = (2)/(6)e^2xI(x0)a. Implement this generator to generate 500 random variates.b. Compute the sample mean and sample variance of these 500 variates and compare with the theoretical values.c. Plot the histogram of these 500 variates and compare the histogram with the graph of f(x).

Generate Multivariate Random Data in R (2 Examples) | Simulate Variables

Transformation of Random Variables