An engineer for a soda bottling facility collects data on soda can fill weights. The engineer determines that the fill weights follow a normal distribution with a mean of 12 ounces and a standard deviation of 0.25 ounces.

The engineer analyzes the distribution of the data to determine the probability that a randomly chosen can of soda has a fill weight that is between 11.5 and 12.5 ounces.

This example uses the normal distribution. However, these steps are similar for any distribution that you select.

- Open the Distribution Plot: Display Probability dialog box.
- Mac:
- PC:

- From Distribution, select Normal.
- In Mean, enter
`12`. - In Standard deviation, enter
`0.25`. - Under Shade the area corresponding to the following, select A specified x value.
- Click the Middle icon. This option shows the probability that is between two x-values.
- In X value 1, enter
`11.5`. In X value 2, enter`12.5`. - Click OK.

If the population of fill weights follows a normal distribution and has a mean of 12 and a standard deviation of 0.25, then the probability that a randomly chosen can of soda has a fill weight that is between 11.5 and 12.5 ounces is 0.9545.