Agresti and Coull developed a method for generating confidence intervals for a parameter of this distribution as an alternative to the standard Wald intervals. The Polya and Pascal distributions are specific cases of the “negative” form of this distribution. The law of rare events states that a sequence of these distributions tends to a Poisson distribution as n tends to infinity. The hypergeometric distribution is a variant of this distribution performed (*) without replacement. A special case of the central limit theorem proved by de Moivre and Laplace permits the normal approximation of these distributions according to the rule of thumb that both n·p and n·q are at least five. This distribution models the number of successes from a sequence of independent Bernoulli trials. For 10 points, what probability distribution is named for coefficients of the form n choose k? ■END■
ANSWER: binomial distribution [prompt on B]
<JC, Other Science - Math>
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