Independent random digits

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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?

Reference no: EM131796162

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