Question: Let Dn be the average of n independent random digits from {0, . . . 9}.
a) Guess the first digit of Dn so as to maximize your chance of being correct.
b) Calculate the chance that your guess is correct exactly for n = 1, 2, and approximately for a selection of larger values of n, and show the results in a graph.
c) How large must n be for you to be 99% sure of guessing correctly?