# Continuous uniform distribution

Here is a spinning wheel, that has a circumference exactly 1 metre. We will perform an experiment where we set the wheel spinning, and then stop it at a random time. The outer edge of the wheel has distance markers around its edge, showing the distance of that point around the circumference from the zero point. There is also a fixed pointer next to the wheel:

When we randomly stop the wheel, we will measure the position of the fixed pointer on the wheel circumference:

We will call this value **X**. In the example above, the wheel happens to have randomly stopped where **X** is about 0.15 (ie it is 15cm from 0.0 on the circumference). What do we know about **X**?

# Continuous random variables

We call **X** a continuous random variable. Random means that its value cannot be predicted, although there are still certain things we know about **X**. Continuous means that it can take any value.

This makes **X** quite different from, say, throwing a dice. Although throwing a dice is random, we know the result will always be an integer from 1 to 6.