Wikipedia 10K Redux by Reagle from Starling archive. Bugs abound!!!

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# Probability_Distributions

```back to [[Probability and Statistics]]

:[[Probability Axioms]] -- [[Probability Applications]]
:[[Random Variable]] -- [[Cumulative Distribution Function]] -- [[Probability Density]]

A '''Probability Distribution''' describes a special ''universe'', a set of ''real numbers'' (see AnaLysis) and how probability is distributed among them to determine a [[Random Variable]]. For every [[Random Variable]], there is a function called the [[Cumulative Distribution Function]] which provides the probability that a given value is not exceeded by the [[random variable]].

:F(x) = Pr[X
F(x+t) - F(x)
f(x) = F'(x) = limit ------------- as t goes to zero.
t
```
Several probability distributions are so important that they have been given specific names, the [[Normal Distribution]], the [[Binomial Distribution], the [[Poisson Distribution]] are just three of them. ---- [[Dick Beldin]]