Let X be the outcome of rolling a fair six-sided dice. The possible outcomes for X are 1,2,3,4,5 and 6 and all are equally likely. Calculate 95% confidence interval on the average outcome for 10...

Let X be the outcome of rolling a fair six-sided dice. The possible outcomes for X are 1,2,3,4,5 and 6 and all are equally likely. Calculate 95% confidence interval on the average outcome for 10 throws.  Now calculate the 95% confidence interval on the average outcome for 40 throws.