Binomial mümkinçilik hasaplaýjy
n özbaşdak synaglarda k batlylyk mümkinçiligini tap
Netijeler ýazýan wagtyň täzelener.
Bu hasapçy hakda
calculator is a simple and easy to use tool that can be used to calculate the number of successes in a fixed number of independent trials, each with the same success probability. It returns the probability of exactly k successes, P(X = k) = C(n, k)·pᵏ·(1 − p)ⁿ⁻ᵏ), along with the cumulative probabilities of at most k and at least k successes. It also reports the distribution’s mean (n·p), variance (n·p·(1 − p)) and standard deviation, and shows the full probability distribution as a table and a chart.The term C(n, k) is the number of ways to choose which k of the n trials succeed, pᵏ is the chance those k succeed and (1 − p)ⁿ⁻ᵏ the chance the rest fail. It also reports the distribution’s mean (n·TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWork
Köp soralýan soraglar
Men näçe wagt binomial paýlaşmany ulanyp bilerin?
Buny bir belli sany özbaşdak synaglar barka ullan, her bir synag diňe iki netijesi bar (başarmak ýa-da batly çykmak), we başarmak mümkinçiligi her wagt birmeňzeşdir - bir puly 10 gezek atmak ýa-da bir bölekde näsaz zatlary saýlamak ýaly.
P(X = k) we P(X ≤ k) arasynda näme tapawut bar?
P(X = k) k başarnyklylyk mümkinçiligidir, P(X ≤ k) 0, 1,... k başarnyklylyklylyk mümkinçiligini goşýar. Toplaýan wersiýa "3 başarnyklylyk mümkinçiligi näçe?" ýaly soraglara jogap berýär.
"n choose k" näme?
C(n, k), "n choose k" diýlip okalýar, n synaglardan haýsy k-ny saýlamak üçin dürli ýollaryň sany. 10 synag we 3 başarnyk üçin C(10, 3) = 120 kombinasiýa bar we her biri doly mümkinçilige goşant goşýar.
Binomial paýlaşmanyň ortaça we standart çykyş nädi?
Ortaça (wagtlaýyn başarmalaryň sany) n·p we variansa n·p·(1 − p) bolup, şonuň üçin standart çykyş √(n·p·(1 − p)). 10 dogry pul öwürmek üçin ortaça 5 we standart çykyş 1.58 töweregi.
Men näçe wagt normal paýlaşma bilen binomy golaýlap bilerin?
Eger n uly bolsa we iki n·p we n·(1 − p) hem azyndan 10 töweregi bolsa, binom normal paýlaşma bilen gowy ýakynlaşyp bilýär, ortaça we standart çykyş bilen. Bu köp uly-gözleg proporsiýa testleriniň esasy.
Men nädip azyndan k batlylyk mümkinçiligini tapyp bilerin?
P(X ≥ k) k, k+1,...'in n başarança mümkinçiligini goşýar. Bu 1 − P(X ≤ k − 1)'e deňdir, we bu binom mümkinçilik hasapçysy ony "en az" bahasy bilen deňeşdirýär.
API — bu hasapçyny koddan ullan
Bu hasapçyny azat JSON ahtar noktasy hökmünde çagyr - açar gerek däl. Aşakdaky meýdança mykdarlaryny soragyň parametrleri ýa-da JSON hökmünde iber. Eňlisçe senedleri oka →
_Soňky
GET https://calculator.free/api/v1/binomial-probability/curl
curl "https://calculator.free/api/v1/binomial-probability/?n=10&k=3&p=50"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/binomial-probability/?" + new URLSearchParams({
"n": "10",
"k": "3",
"p": "50"
}));
const data = await r.json();
console.log(data.results);Netijeler diňe umumy ýardam üçin hasaplanypdyr, maliýe, lukmançylyk ýa-da salgyt maslahaty üçin däl.