What does binomial distribution mean?
Definitions for binomial distribution
bi·no·mi·al dis·tri·bu·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word binomial distribution.
Princeton's WordNet
binomial distribution, Bernoulli distributionnoun
a theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of success
Wiktionary
binomial distributionnoun
The discrete probability distribution of the number of successes in a sequence of n independent yes/no experiments, each of which yields success with probability p.
Wikipedia
Binomial distribution
In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own Boolean-valued outcome: success (with probability p) or failure (with probability q = 1 − p {\displaystyle q=1-p} ). A single success/failure experiment is also called a Bernoulli trial or Bernoulli experiment, and a sequence of outcomes is called a Bernoulli process; for a single trial, i.e., n = 1, the binomial distribution is a Bernoulli distribution. The binomial distribution is the basis for the popular binomial test of statistical significance.The binomial distribution is frequently used to model the number of successes in a sample of size n drawn with replacement from a population of size N. If the sampling is carried out without replacement, the draws are not independent and so the resulting distribution is a hypergeometric distribution, not a binomial one. However, for N much larger than n, the binomial distribution remains a good approximation, and is widely used.
ChatGPT
binomial distribution
A binomial distribution is a probability distribution in statistics that describes the number of successful outcomes in a fixed number of trials of a binomial experiment. Each trial is independent of the others and only two outcomes are possible (success or failure). The distribution is defined by two parameters: the number of trials (n) and the probability of success on a single trial (p).
Wikidata
Binomial distribution
In probability theory and statistics, the binomial distribution is the discrete probability distribution of the number of successes in a sequence of n independent yes/no experiments, each of which yields success with probability p. Such a success/failure experiment is also called a Bernoulli experiment or Bernoulli trial; when n = 1, the binomial distribution is a Bernoulli distribution. The binomial distribution is the basis for the popular binomial test of statistical significance. The binomial distribution is frequently used to model the number of successes in a sample of size n drawn with replacement from a population of size N. If the sampling is carried out without replacement, the draws are not independent and so the resulting distribution is a hypergeometric distribution, not a binomial one. However, for N much larger than n, the binomial distribution is a good approximation, and widely used.
U.S. National Library of Medicine
Binomial Distribution
The probability distribution associated with two mutually exclusive outcomes; used to model cumulative incidence rates and prevalence rates. The Bernoulli distribution is a special case of binomial distribution.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of binomial distribution in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of binomial distribution in Pythagorean Numerology is: 1
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"binomial distribution." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/binomial+distribution>.
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