When a single die is rolled, the probability of a “one” is 1/6, or 0.167. Let’s simulate 3000 rolls of a die. (Note: A Bernoulli experiment is like a “single”

trial binomial experiment. That is, one roll of a die is one Bernoulli experiment with p  1/6;

and 3000 rolls of a die either is a binomial experiment with n  3000 or is 3000 Bernoulli experiments.

Code: 0  2, 3, 4, 5, or 6, and 1  1. The sum of the 1s will be the number of ones in the 3000 tosses.)

a. Use the commands given in Exercise 9.83 and a calculator or computer to simulate the rolling of a single die 3000 times.

Using the results from the simulation:

b. Sum the data and divide by 3000. Explain what this value represents.

c. Determine the standard error of proportion.

d. Determine the 95% confidence interval for p  P(one).

e. How do the results from the simulation compare with your expectations? Explain.