Agresti and Coull developed a method for generating confidence intervals for a parameter of this distribution as an alternative to the standard Wald (-5[1])intervals. The Polya and Pascal distributions are specific cases (15[1])of the “negative” (15[1])form of this distribution. (15[7]-5[1])The law (15[2])of (15[1])rare (15[2])events (-5[2])states that a sequence (15[1])of these distributions (15[1]-5[1])tends to a Poisson (15[1]-5[1])distribution as n (15[4])tends (15[2])to infinity. (15[2])The hypergeometric (15[2])distribution (15[1]-5[1])is a variant of this distribution (15[5])performed (*) without (10[1])replacement. (10[1]-5[1])A special case (10[1]-5[1])of the central limit theorem (10[1])proved by de Moivre and Laplace permits the normal (10[1])approximation of these distributions (10[2])according (10[1])to the rule of thumb (10[1])that both n·p and n·q are (10[1])at least five. (10[2])This (10[1])distribution models (-5[1])the number of successes from a sequence of independent (-5[1])Bernoulli trials. (10[1])For 10 points, (10[1])what probability distribution (10[1])is named for coefficients of the form n choose (10[1])k? ■END■ (10[5]0[4])