Last Updated：2025/11/22

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(probability theory, statistics) The discrete probability distribution of the number of successes in a sequence of n independent trials, each of which yields success with probability p.

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binomial distribution

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Source Word

binomial distribution

Noun

(probability theory, statistics) The discrete probability distribution of the number of successes in a sequence of n independent trials, each of which yields success with probability p.

Japanese Meaning

n回の独立試行において、各試行が成功する確率pに基づき成功回数が従う離散確率分布

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Google Translation / DeepL Translation

バッチ内の欠陥品の数をモデル化する際、n回の独立試行でそれぞれ成功確率pのもとに得られる成功回数の離散確率分布（いわゆる二項分布）を用いてk個の不良品が発生する確率を推定することが多い。

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(probability theory, statistics) The discrete probability distribution of the number of successes in a sequence of n independent trials, each of which yields success with probability p.

The first two have long histories in statistical theory, the binomial distribution having been discovered by James Bernoulli about 1700 and the Poisson distribution, which is a limiting form of the binomial distribution, by S. D. Poisson in 1837.

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binomial distributions

（ plural ）

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binomial distribution

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binomial distribution

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