7: R simulation. Let X1, . . . , Xn be i.i.d. random variables from a uniform distribution on [0, 2]. Generate and plot 10 paths of sample means from n = 1 to n = 40 in one figure for each case. Describe what you can observe from each plot and relate to the theory in this specific context to empirically check the Law of Large Numbers. (a) When n is large, X1 Xn n converges to E[Xi]. (b) When n is large, X2 1 X2 n n converges to E[X2 i ]