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binomial_distribution
has definitions from the fields of mathematics,statistics
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[ noun ] (mathematics,statistics) a theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of success
Synonyms Used in print (Frederick Mosteller et al., Probability with...)The binomial probability distribution may describe the variation that occurs from one set of trials of such a binomial experiment to another . We devote a chapter to the binomial_distribution not_only because it is a mathematical model for an enormous variety of real_life phenomena , but also because it has important properties that recur in many other probability models . When each number of successes x is paired with its probability of occurrence * * f , the set of pairs * * f , is a probability function called a binomial_distribution . The choice of p and n determines the binomial_distribution uniquely , and different choices always produce different distributions ( except when * * f ; then the number of successes is always 0 ) . The set of all binomial_distributions is called the family of binomial_distributions , but in general discussions this expression is often shortened to `` the binomial_distribution '' , or even `` the binomial '' when the context is clear . Related terms |
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