For n=36 what is the approximate mean and standard deviation

Question

Rolling a fair twelve-sided die produces a uniformly distributed set of numbers between 1 and 12 with a mean of 6.5 and a standard deviation of 3.452. Suppose that a sample of n twelve sided die are rolled many times and the mean of the outcomes is computed for each roll of dice. Find the mean and standard deviation of the resulting distribution of sample means for n=36 and for n=100.

Answer 1

This question has been set out as if it is normally distributed, so x~N(6.5, 4.352^2) therefore a sample of 36 would give x-bar ~ N (6.5, (4.352^2)/36). This is as far as i can help as i cannot understand what probability you are looking for, but i would expect you change to z value then use tables.