Geometric distribution
In probability, the geometric distribution with probability of success [math]\displaystyle{ p }[/math], written [math]\displaystyle{ \operatorname{Geo}(p) }[/math],[1] is a discrete probability distribution defined on non-negative integers. It is used to model the number of trials needed to obtain a first success, where the probability of success of each trial is [math]\displaystyle{ p }[/math].[2]
An example involving geometric distribution is the number of times a coin needs to be tossed in order to get the first head.
The geometric distribution is the discrete analogue of the exponential distribution.[3]
Geometric Distribution Media
Plot of the probability mass functions of several members of the family of geometric distributions.
Plots of the cumulative distribution functions for several members of the geometric family of probability distributions.
Related pages
References
- ↑ "List of Probability and Statistics Symbols". Math Vault. 2020-04-26. Retrieved 2020-10-13.
- ↑ "11.1 - Geometric Distributions | STAT 414". PennState: Statistics Online Courses. Retrieved 2020-10-13.
- ↑ Weisstein, Eric W. "Geometric Distribution". mathworld.wolfram.com. Retrieved 2020-10-13.