4.5 Let X1, . . . , Xn be i.i.d. observations generated from the following distributions, where n = 30. Construct the histograms of the empirical distribution of

¯X based on 10,000 simulated values. Does the population distribution of the Xi ’s make a difference?

(i) N(0, 1);

(ii) Uniform[0, 1];

(iii) Exponential(1);

(iv) Bernoulli(p), where p = 0.1.