An urn contains three quarters, six dimes, and two pennies. let x1, x2, xn be a random sample with replacement from this urn. let x = (1/n) r_, xk. write a piece of r code to simulate the distribution of x for n = 5 and n = 50. note: to ensure replicability, use set. seed (id) at the beginning of your program where id is your student id number. attach your code and answer the following questions.
(i) plot the histogram of x in each case.
(ii) compare the mean and variance with the theoretical values.
(iii) compare the shape of the histograms of x for n = 5 versus n = 50. which one is more like a bell curve?