TAVZEI BINOMI

TAVZEI BINOMI, tavzei Bernulli, taqsimoti ehtimoliyathoi miqdori ruy dodani yagon hodisaro hangomi sanjishhoi novobastai takrori guyand. Agar dar har sanjish ehtimoliyati ruy dodani hodisa ba r (0 r 1) barobar boshad, on goh — adadi ruy dodani in hodisa dar sanjishi novobasta buzurgii tasodufist, ki qimathoi m = 0, 1, 2, …» n-po muvofiqan bo ehtimoliyathoi Rn(m) = Snmrmqn-m
qabul karda meyaavonad [q = 1 — r, Snm = n!/m! (n — m) — koefficienthoi binomi].

Formulai mazkurro bazan formulai Bernulli menomand. Intizoriyati matematiki va dispersiyai buzurgii , ki tavzei binomi dorand, muvofiqan ba M ( ) = np va D ( ) = npq barobarand.