# Example of a distribution plot with a shaded region

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.

###### Note

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

1. Open the Distribution Plot: Display Probability dialog box.
• Mac: Statistics > Probability Distributions > Distribution Plot > Display Probability
• PC: STATISTICS > Distribution Plot > Display Probability
2. From Distribution, select Normal.
3. In Mean, enter 12.
4. In Standard deviation, enter 0.25.
5. Under Shade the area corresponding to the following, select A specified x value.
6. Click the Middle icon. This option shows the probability that is between two x-values.
7. In X value 1, enter 11.5. In X value 2, enter 12.5.
8. Click OK.

## Interpret the results

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.

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