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

C. Mack
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C. Mack: Institute of Technology, Applied Mathematics

Chapter 9 in Essentials of Statistics for Scientists and Technologists, 1966, pp 72-88 from Springer

Abstract: 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 $${{6{\rm{ 3}}} \over {6{\rm{ 4}}}}$$ in. or greater than $${{6{\rm{ 5}}} \over {6{\rm{ 4}}}}$$ 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 (search for similar items in EconPapers)
Date: 1966
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DOI: 10.1007/978-1-4615-8615-9_9

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