Roll a fair die n times. Let Sn denote the sum of squares of the rolls. Thus, Sn is the sum of Xi^2, where Xi represents one roll.
What are the mean and variance of sqrt(n) * (Sn/n - u), where u is the mean of Yn/n
The Attempt at a Solution
No real revelation yet, but looking into law of large numbers. Not sure if should pursue problem directly via definition of expected value and variance.....