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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 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
distribution function — Statistics. (of any random variable) the function that assigns to each number the probability that the random variable takes a value less than or equal to the given number. [1905 10] * * * ▪ mathematics mathematical expression that… … Universalium
Cumulative distribution function — for the normal distributions in the image below … Wikipedia
Empirical distribution function — In statistics, an empirical distribution function is a cumulative probability distribution function that concentrates probability 1/ n at each of the n numbers in a sample.Let X 1,ldots,X n be iid random variables in mathbb{R} with the cdf F ( x… … Wikipedia
binomial distribution — noun Date: 1911 a probability function each of whose values gives the probability that an outcome with constant probability of occurrence in a statistical experiment will occur a given number of times in a succession of repetitions of the… … New Collegiate Dictionary
Negative binomial distribution — Probability mass function The orange line represents the mean, which is equal to 10 in each of these plots; the green line shows the standard deviation. notation: parameters: r > 0 number of failures until the experiment is stopped (integer,… … Wikipedia
Extended negative binomial distribution — In probability and statistics the extended negative binomial distribution is a discrete probability distribution extending the negative binomial distribution.The distribution appeared in its general form in a paper by K. Hess, A. Liewald and K.D … 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 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