binomial formula

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• Binomial coefficient — The binomial coefficients can be arranged to form Pascal s triangle. In mathematics, binomial coefficients are a family of positive integers that occur as coefficients in the binomial theorem. They are indexed by two nonnegative integers; the… …   Wikipedia

• Binomial theorem — The binomial coefficients appear as the entries of Pascal s triangle. In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the power… …   Wikipedia

• Binomial series — In mathematics, the binomial series is the Taylor series at x = 0 of the function f given by f(x) = (1 + x) α, where α ∈ C is an arbitrary complex number. Explicitly, and the binomial series is the power series… …   Wikipedia

• Binomial — In elementary algebra, a binomial is a polynomial with two terms: the sum of two monomials. It is the simplest kind of polynomial except for a monomial.The binomial a^2 b^2 can be factored as the product of two other binomials:: a^2 b^2 = (a +… …   Wikipedia

• Binomial probability — typically deals with the probability of several successive decisions, each of which has two possible outcomes. Definition The probability of an event can be expressed as a binomial probability if its outcomes can be broken down into two… …   Wikipedia

• binomial theorem — n. the general formula for the expansion of any binomial when raised to a power that is a positive whole number; the expansion of (a + b) n: discovered by Omar Khayyám and generalized by Sir Isaac Newton (Ex.: (a + b) 2 = a2 + 2ab + b2) …   English World dictionary

• Binomial options pricing model — BOPM redirects here; for other uses see BOPM (disambiguation). In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options. The binomial model was first proposed by Cox, Ross and… …   Wikipedia

• Binomial proportion confidence interval — In statistics, a binomial proportion confidence interval is a confidence interval for a proportion in a statistical population. It uses the proportion estimated in a statistical sample and allows for sampling error. There are several formulas for …   Wikipedia

• Binomial distribution — Probability distribution name =Binomial type =mass pdf cdf Colors match the image above parameters =n geq 0 number of trials (integer) 0leq p leq 1 success probability (real) support =k in {0,dots,n}! pdf ={nchoose k} p^k (1 p)^{n k} ! cdf =I {1… …   Wikipedia

• Binomial type — In mathematics, a polynomial sequence, i.e., a sequence of polynomials indexed by { 0, 1, 2, 3, ... } in which the index of each polynomial equals its degree, is said to be of binomial type if it satisfies the sequence of identities:p n(x+y)=sum… …   Wikipedia

• binomial distribution — Statistics. a distribution giving the probability of obtaining a specified number of successes in a finite set of independent trials in which the probability of a success remains the same from trial to trial. Also called Bernoulli distribution.… …   Universalium