The time that customers wait to be served at the delicatessen for a grocery store follows the uniform distribution between 0 and 7 minutes. What is the standard deviation of this distribution?

Question

Quizplus · Accepted Answer

The standard deviation of a uniform distribution is given by the formula $\sigma = \frac{b - a}{\sqrt{12}}$, where $a$ and $b$ are the minimum and maximum values of the distribution, respectively. Here, $a = 0$ and $b = 7$, so $\sigma = \frac{7 - 0}{\sqrt{12}} = \frac{7}{\sqrt{12}} \approx 2.02$.

The Time That Customers Wait to Be Served at the Delicatessen