Write the R code that would illustrate the effects of the central limit theorem. Start with a uniform distribution from which you draw 1,000,000 values. These values form the population to be sampled. Then take 1,000 samples of different sizes: n = 4, 16, 100. Plot the sampling distributions obtained in each case. Calculate the population mean, µ and the means of each of the sampling distributions. Calculate the population variance σ 2 and the variances of each of the sampling populations. What is to be expected? How do the results match your expectations?