Solved: Let dn be the average of n independent random digits from 0, Basic Statistics

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Let dn be the average of n independent random digits from 0

Let D_n be the average of n independent random digits from {0, . . . 9}.

a) Guess the first digit of D_n 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?

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Basic Statistics: Let dn be the average of n independent random digits from 0

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Basic Statistics: Let dn be the average of n independent random digits from 0

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