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| kurtosis = | entropy = in shannons. For nats, use the natural log, and omit the factor of in the log. | mgf = | char = | pgf = | fisher = (for fixed ) }} 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 yes/no experiments, each of which yields success with probability ''p''. 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. ==Specification== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「binomial distribution」の詳細全文を読む スポンサード リンク
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