Binomial Probability Calculator
Pezani kuthekera kwa k successes mu n osiyana zitsanzo.
Zithunzizi zimasintha monga momwe mumalemba.
Zachidule
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 distribution’s mean (n·p) is 0.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 term C(n, k) is the number of ways to choose
Mafunso ofunsidwa nthawi zambiri
Kodi ndi nthawi iti imene ndingagwiritse ntchito kugawa kwa binomial?
Yagwiritsa ntchito pamene pali idadi yokhazikika ya zisankho osati, chilichonse chisankho ali ndi zotsatira ziwiri (kupambana kapena kulephera), ndi kupambana kuthekera ndi chimodzimodzi nthawi zonse - monga kukanikiza ndalama 10 nthawi kapena kuwerengetsa zoipa zinthu mu gulu.
Kodi pali kusiyana kotani pakati pa P (X = k) ndi P (X ≤ k)?
P (X = k) ndi mwayi wa k mosasamala kanthu za zotsatira, pamene P (X ≤ k) amawonjezera mwayi wa 0, 1,... mpaka zotsatira k. Kukula kwa mtundu kumayankha mafunso monga "Kodi ndi chiyani chiopsezo cha zotsatira 3?"
Kodi ndi chiyani "n kusankha k"?
C (n, k), kuphunzira "n kusankha k", ndi idadi ya njira zosiyanasiyana kuti asankhe k wa n ndondomeko ndi kupambana. kwa 10 ndondomeko ndi 3 kupambana pali C (10, 3) = 120 monga kugwirizana, ndi aliyense kuwonjezera kwa kuthekera zonse.
Kodi ndi chiyani chigawo cha 10 cha 10 ndi mfundo ya standard deviation ya kugawa kwa binomial?
Mtengo (kuyembekezera mnda wa kupambana) ndi n · p ndi kusiyanasiyana ndi n · p · (1 − p), kotero standard deviation ndi √ (n · p · (1 − p)). kwa 10 weniweni coin flips mtengo ndi 5 ndi standard deviation za 1.58.
Kodi ndi nthawi iti imene ndingapeze mfundo zofanana ndi zomwe zili m'malemba?
Ngati n ndi lalikulu ndipo n·p ndi n·(1 − p) ndi pafupifupi 10, binomial imatha kuwerengedwa bwino ndi kugawa kwachikhalidwe ndi kusiyana kwapakati ndi standard.Izi ndi mfundo zazikulu za kuyesa kwa kusiyana kwa masampuli ambiri.
Kodi ndingapeze kuthekera kwa pa k panthawi yokha?
P(X ≥ k) imaphatikizapo zotheka za k, k+1, … mpaka n zopambana. Zili zofanana ndi 1 − P(X ≤ k − 1), ndipo izi binomial probability calculator imalemba izi mwachindunji kumbuyo kwa "pafupifupi" tanthauzo.
API — kugwiritsa ntchito izi calculator kuchokera code
Kulemba izi calculator monga ufulu JSON endpoint - palibe chida zofunika. Kutumiza nyanja mfundo pansipa monga mafunso zigawo kapena JSON. Onani zonse API docs →
Chithunzi
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);Zimenezi ndi zowerengera zokhudzana ndi malangizo amtundu uliwonse, si zokhudzana ndi ndalama, zamoyo kapena zokhudzana ndi ndalama.