All related terms of 'binomial'

a mathematical theorem that gives the expansion of any binomial raised to a positive integral power, n . It contains n + 1 terms: ( x + a ) n = xn + nx n – 1 a + [ n ( n –1)/2] xn – 2 a 2 +…+ ( nk ) xn – kak + … + an , where ( nk ) = n !/( n– k )! k !, the number of combinations of k items selected from n

any of the numerical factors which multiply the successive terms in a binomial expansion ; any term of the form n !/( n– k )! k !: written ( nk ), nCk , or Cnk

a statistical distribution giving the probability of obtaining a specified number of successes in a specified number of independent trials of an experiment with a constant probability of success in each. Symbol : Bi ( n, p ), where n is the number of trials and p the probability of success in each

an experiment consisting of a fixed number of independent trials each with two possible outcomes , success and failure , and the same probability of success. The probability of a given number of successes is described by a binominal distribution

a system for naming plants and animals by means of two Latin names: the first indicating the genus and the second the species to which the organism belongs, as in Panthera leo (the lion )

a principle stating that in an infinitely large, randomly mating population in which selection , migration , and mutation do not occur, the frequencies of alleles and genotypes do not change from generation to generation