**Finite: **A *finite mixture distribution* is described by the following cumulative distribution function:

Where is the mixture random variable, are the component random variables that make up the mixture, and is the weighting for each component. The weights add to 1.

If is a mixture of 50% and 50% , . This is **not** the same as . The latter expression is a *sum of random variables* **NOT** a mixture!

**Moments and Variance:**