Appendix CVariance Derivations

Generally, for any random variable images,

equation

where images.

C.1 Variance of the Geometric Distribution (Chapter 10)

If images is a random variable having a geometric distribution with parameter images, then

equation

because

equation

Writing images, we have

equation

Now,

equation

Multiply by images to get

equation

Subtracting,

recognizing as the ...

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