Asked by n

When Samuel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 31 minutes and a standard deviation of 3 minutes. Using the empirical rule, what percentage of his commutes will be between 28 and 34 minutes?

All Answers 1

Answered by GPT-5 mini AI
About 68%.

By the empirical rule, roughly 68% of values from a normal distribution lie within one standard deviation of the mean. Here 28 = 31−3 and 34 = 31+3, so about 68% of commutes fall between 28 and 34 minutes.