1.4 Simulation (using R or any other programming languages). N (a) Simulate an i.i.d process {X}=1, n following standard normal X Normal (0, 1) with sample size n = 1000 and simulation time N = 500. Compute the sample mean X(1),..., X(N), where X() is the sample mean from the i-th simulation. Plot the histogram for X(1),..., X(N).