In a Lottery, a Real Number from 0 to 100 $\overline{X}$

Short Answer

In a lottery, a real number from 0 to 100 is picked at random. If X is the number picked, then the mean of X is 50 and the standard deviation of X is 28.9. For a random sample of 60 numbers, use the Empirical Rule to find a range that will include the sample mean, $\overline{X}$ , approximately 95% of the time.