John's commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutes and a standard deviation of 5.1 minutes. The interval around the mean that contains 99.7% of the commute times is -------.

Question

Quizplus · Accepted Answer

According to the empirical rule, 99.7% of data in a normal distribution lies within three standard deviations from the mean. Thus, the interval is 26.7 ± 3(5.1), which is 11.4 to 42.0.

John's Commute Time to Work During the Week Follows the Normal