Distributions {binomial distribution} can reflect probability of event series that have two possible outcomes. Terms equal (n! / (r! * (n - r)!)) * p^r * (1 - p)^(n - r), where n is event number, r is favorable-outcome number, and p is favorable-outcome probability. Mean equals n*p. Variance equals n * p * (1 - p).
ratio
Small p with caret (^) {p-hat} denotes ratio of subset X to sample N: = X/N. p-hat standard deviation = (p * (1 - p) / N)^0.5 or (N * p * (1 - p))^0.5 / N, if p = X/N and 1 - p = (N - x) / N.
Mathematical Sciences>Statistics>Distribution
Outline of Knowledge Database Home Page
Description of Outline of Knowledge Database
Date Modified: 2022.0224