Binomial Xaqiiqda Calculator
Hesho suurtogalnimada guusha k in n tijaabooyin madaxbannaan.
Natiijooyinka cusbooneysiinta sida aad ku qorto.
Ku saabsan Kalkaaliyahan
the binomial distribution is used to calculate 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. 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 binomial probability calculator uses the binomial distribution to model the number of successes in aWorked exampleWorked example: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. The probability of exactly k successes is C(n, k) × 0.5³ × 0.5⁷ ≈ 11.7%. The expected number of headsTheWorked exampleTheWorked exampleTheWorked exampleTheWorked exampleThe term C(n, k)TheWorked exampleTheWorked exampleThe term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n, k)The term C(n,
Su'aalaha badanaa la isweydiiyo
Goorma ayaan isticmaali karaa qaybinta binomial?
U isticmaal marka ay jiraan tiro go’an oo tijaabooyin madaxbannaan, tijaabooyinka kasta oo kaliya laba natiijooyin (ku guuleysan ama ku fashilmaan), iyo suurtogalnimada guusha waa la mid ah mar kasta – sida ku shubista lacag 10 jeer ama tirinta waxyaabaha ku xadgudbay in qayb.
Waa maxay farqiga u dhexeeya P (X = k) iyo P (X ≤ k)?
P (X = k) waa fursadda dhab ahaantii k guulo, halka P (X ≤ k) ku daray up fursadaha 0, 1, … ilaa k guulo. Version cumulative jawaabo su'aalo sida "maxaa ah suurtagalnimada ugu badan 3 guulo?"
Maxaa "n doortaan k"?
C (n, k), akhri "n doortaan k", waa tirada hababka kala duwan ee ay doortaan kaas oo k ee n tijaabooyinka waa guusha. 10 tijaabooyin iyo 3 guulo waxaa jira C (10, 3) = 120 isku dhafka sida, iyo mid kasta oo ka mid ah ka qaybqaadasho in ay suurtogalnimada guud.
Maxay yihiin inta u dhexeysa iyo ka leexashada caadiga ah ee qaybinta binomial?
Dhexdhexaadka (tirada la filayo ee guusha) waa n · p iyo kala duwanaanshaha waa n · p · (1 − p), sidaa darteed ka leexashada caadiga ah waa √ (n · p · (1 − p)). 10 lacag cadaalad ah oo ku wareegsan dhexdhexaadka waa 5 iyo ka leexashada caadiga ah ee ku saabsan 1.58.
Goorma ayaan u dhow yahay laba-dhexaad ah oo leh qaybinta caadiga ah?
Marka n waa weyn yahay iyo labadaba n · p iyo n · (1 − p) waa ugu yaraan 10, binomial waa si fiican u soo dhaweeyay by qaybinta caadiga ah oo leh isku mid dhexdhexaad ah iyo ka leexashada caadiga ah. Tani waa salka badan oo tijaabooyin tijaabo ah oo tijaabo ah.
Sideen u heli karaa in ay suurtogal tahay in ugu yaraan k guulo?
P (X ≥ k) sums u suurtogalnimada k, k + 1,... ilaa n guulo. Waxay la mid tahay 1 - P (X ≤ k - 1), iyo xisaabinta binomial u suurtogalnimada this warbixin ku siin si toos ah oo ku xiga "oo ugu badan" qiimaha.
API — isticmaal xisaabinta ka code
Wici xisaabinta sida free JSON endpoint - key ma loo baahan yahay. Dib u soo dir qiimaha goobta hoos ku qoran sida parameters su'aal ama JSON. Akhri dhammaan API xuquuqda →
Xarafka
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);Natiijooyinka waa tirakoobka loogu talagalay tilmaamaha guud oo keliya, maaha dhaqaale, caafimaad ama talo bixin canshuur.