Many states have a Pick 3 lottery in which three digits are randomly selected each day. Winning

Question:

Many states have a Pick 3 lottery in which three digits are randomly selected each day. Winning requires that you select the same three digits in the same order that they are drawn. Assume that you compute the mean of each set of three selected digits.
a. What is the approximate shape of the of the sample means (uniform, normal, skewed, other)?
b. What value do the sample means target? That is, what is the mean of all such sample means?
c. For each set of three digits that is selected, if you find the proportion of odd numbers, what is the mean of those proportions?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...