# The binomial distribution: laws of probability, applications of the binomial distribution, the multinomial distribution

Chapter

## Abstract

The binomial distribution is the most important of the non-normal distributions. Its most widely used application is estimating the ‘fraction defective’ in industry (the fraction defective is the proportion of articles which fail to meet a given standard, e.g. screws nominally of one inch length may be classed as defective if they are less than 63/64 in. or greater than 65/64 in. long). It is used in public opinion polls to estimate the proportion of the population who hold a certain opinion (e.g. who will vote for a certain political party), and has many other applications.

## Keywords

Confidence Limit Binomial Distribution Gambling Problem Multinomial Distribution Double Sampling
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Copyright information

© C. Mack 1966