# AP Statistics : Random Variables

## Example Questions

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Explanation:

### Example Question #1 : How To Do The Linear Transformation Of A Random Variable

Variable  has a Poisson distribution with a mean of . What is the variance of Variable ?

Explanation:

Because  has a Poisson distribution we know that:

and

.

Therefore, since we are given the mean of 25, we can find its variance to also be 25.

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