Use the applets entitled Simulating the Probability of a Head with an Unfair Coin (P(H) = 0.2) and Simulating the Probability of a Head with an Unfair Coin (P(H) = 0.8) to study the mean µ of a binomial distribution.

a. Run each applet once with n = 1,000 and record the cumulative proportions. How does the cumulative proportion for each applet compare with the value of P(H) given for the applet?

b. Using the cumulative proportion from each applet as p, compute µ = np for each applet, where n = 1,000. What does the value of m represent in terms of the results obtained from running each applet in part a?