A discrete random variable X has the probability mass function X 1 2 3 4 5 f(x) 0.1 0.2 0.4 0.1 0.2 a) Write R code for an inversion sampler to generate a sample of 1000 random numbers from the distribution of X. Use the generated CNRG pseudo-random numbers of Question 1 (do not use any functions, which directly implement the sampler like rbinom () ) b) Show the probability mass function of the sample of simulated random numbers. Include the true probability mass function in the plot for a comparison