Show the Matlab source code with Generate 500 random samples from the standard normal distribution for sample sizes of n = 2,15, and 45. At each sample size, calculate the sample mean for all samples. How are the means distributed as n gets large? What is the mean and variance of the sample means for each n? Is this what you would expect from central-limit theorem? Generate a random sample that is uniformly distributed over the interval (0, 1). Plot the empirical distribution function over the interval (-0.5, 1.5). Generate a random sample of size 100 from a normal distribution. What are the estimated quartiles