Kalkulatè pwobabilite binomial
Chèche pwobablite pou k reyisi nan n efò ki endepandan.
Rezilta yo mete ajou pandan w ap ekri.
Atik sa a
the binomial distribution, the probability of exactly k successes is 100%, and the probability of at least k successes is 100%. The binomial probability calculator uses the binomial distribution to model the number of successes in a fixed number of independent trials, each with the same success probability — the classic "how many heads in ten coin flips" problem. 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. The binomial distribution, the probability of exactly k successes is 100%, and the probability of at least k successes is 100%.The binomial probability calculator uses the binomial distribution to model the number of successes in aWorked example:The binomial probability calculator uses the binomial distribution to model the number of successes in aWorked example:The binomial probability calculator uses the binomial distribution to model the number of successes in aWorked example:The binomial probability calculator uses the binomial distribution to model the number of successes in aWorked example:The binomial probability calculator uses the binomial distribution to model the number of successes in aWorked example:The binomial probability calculator uses the binomial distribution to model the number of successes in aWorked example:The binomial probability calculator uses the binomial distribution to model the number of successes in aWorked exampleThe binomial probability calculator uses the binomial distribution to model the number of successes in aWorked exampleThe binomial probability calculator uses the binomial distribution to model the number of successes in aWorked exampleThe binomial probability calculator uses the binomial distribution to model the number of successes in a fixed number ofWorked example:The binomial probability calculator uses the binomial distribution to model the number of successes in a fixed number ofWorked example:The binomial probability calculator uses the binomial distribution to model the number of successes in a fixed number ofWorked example:The bi
Kesyon ki poze souvan
Kilè mwen ka itilize distribisyon binòm lan?
Li itilize lè gen yon kantite fiks de efò endepandan, chak efò gen sèlman de rezilta (succès ou échec), ak pwobabilite siksè se menm chak fwa — tankou flipping yon pyès monnen 10 fwa oswa konte defektye atik nan yon batch.
Ki diferans ki genyen ant P(X = k) ak P(X ≤ k)?
P(X = k) se chans pou egzakteman k siksè, pandan ke P(X ≤ k) ajoute chans pou 0, 1,... jiska k siksè.Versiyon kumulatif la reponn kesyon tankou "ki sa ki se chans pou pi plis pase 3 siksè?"
Ki sa ki "n chwazi k"?
C(n, k), li "n chwazi k", se kantite fason diferan pou chwazi ki k nan n efò yo se siksè yo. Pou 10 efò ak 3 siksè gen C(10, 3) = 120 konbinezon sa yo, ak chak konpoze nan pwobabilite total.
Ki sa ki se mwayèn ak deviation estanda nan yon distribisyon binòm?
Mezi a (nimewo siksè espere) se n·p ak varyasyon an se n·p·(1 − p), se konsa deviation estanda a se √(n·p·(1 − p)). pou 10 bon lonje lajan, mezi a se 5 ak deviation estanda a sou 1.58.
Kilè mwen ka apwòch yon binòm ak yon distribisyon nòmal?
Lè n se gwo epi tou de n·p ak n·(1 − p) yo se omwen sou 10, binòm lan se byen apwòch pa yon distribisyon nòmal ak menm mwayèn ak deviation estanda.Sa a se baz la nan anpil tès gwo-echantiyon proporsyon.
Ki jan pou m jwenn pwobabilite pou k reyisi?
P(X ≥ k) se yon pwobabilite pou k, k+1,... jiska n siksè. Li egal a 1 − P(X ≤ k − 1), ak sa a calculateur pwobabilite binòm rapòte li dirèkteman ansanm ak valè a "pi plis".
API — itilize sa a calculateur soti nan kòd
Apèl sa a calculateur kòm yon gratis JSON pwent-de-fini - pa gen okenn kle ki nesesè. Envoye valè jaden anba a kòm paramèt kesyonè oswa JSON. Li dokiman API a an antye →
Endpoint
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);Rezilta yo se estimasyon pou kòmandman jeneral sèlman, pa finansye, medikal oswa konsèy taks.