a. Explain how you could use digits from a random number table to simulate rolling a fair six-sided die.

b. Carry out your simulation beginning with line 3 of the random number table in Appendix A. Repeat your simulation 5 times.

c. Use your simulation to find the empirical probability of rolling a 6. How does the empirical probability compare with the theoretical probability?

d. Suppose you repeated your simulation 500 times. How would the empirical probability of rolling a 6 based on your 500 simulations compare with the theoretical probability of rolling a 6?