Question

When Rashaad commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 34 minutes and a standard deviation of 2.5 minutes. Using the empirical rule, determine the interval that represents the middle 95% of his commute times.

Answer 1

The empirical rule says about 95% lie within ±2 standard deviations of the mean.
So interval = 34 ± 2(2.5) = 34 ± 5 → 29 to 39 minutes.