Te tātaitai tūponotanga ā-rua
Ka kitea te tūponotanga o ngā angitu k i roto i ngā whakamātautau takitahi n.
Ka whakahōutia ngā hua i te wā e tātuhi ana.
Mo tēnei tātaitai
the binomial distribution is used to calculate the number of successes in a fixed number of independent trials, each with the same success probability, 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 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 a fixed number of independent trials, each with the same success probability — the classic "how many heads in ten coin flips" problem.Worked 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 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 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 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 which k of the n trials succeed.Worked example: for n = 10 flips of aWorked example: for n = 10 flips of a fair coin (p = 50%)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
Ko nga pātai e pā ana
Ka taea e au te whakamahi i te tuaritanga o te rua?
Ka whakamahia i te wā e rua noa iho ngā hua o ia whakamātautau (whakapaia, whakapeka rānei), ā, he ōrite te tūponotanga o te angitu i ia wā — pēnei i te whakatū i tētahi moni 10 wā, te tatau rānei i ngā ahanoa hē i roto i tētahi rōpū.
He aha te rerekētanga i waenganui i P (x = k) me P (X ≤ k)?
P(X = k) ko te tūponotanga o ngā angitu k tika, i te wā e tāpiri ana a P(X ≤ k) i ngā tūponotanga o te 0, 1,... tae atu ki ngā angitu k. Ko te putanga whakatōpū e whakautu ana i ngā pātai pēnei i te "he aha te tūponotanga o te nui rawa o ngā angitu 3?"
He aha te "n kōwhiri i te k"?
C(n, k), e tuhi ana "n kōwhiri k", ko te maha o ngā ara rerekē hei kōwhiri he aha te k o ngā whakamātautau n ko ngā angitu. Mō ngā whakamātautau 10 me ngā angitu 3 he C(10, 3) = 120 ōrite ngā pahekotanga, ā, ka āwhina ia ki te tūponotanga katoa.
He aha te tauwaenga me te whakarerekētanga paerewa o te tuaritanga o te rua?
Ko te tau tōpū (te tau o ngā angitu e tūmanakohia ana) ko te np me te tāupetanga ko te np · (1 − p), nō reira ko te whakarerenga paerewa ko te √(np · (1 − p)). Mō ngā 10 ngā tāupetanga pūnoa, ko te tau tōpū ko te 5 me te whakarerenga paerewa tata ki te 1.58.
Ka taea e au te whakatata i te taumaha me te tuaritanga pūnoa?
Ki te nui ake te n, ā, ko te n·p rāua ko te n·(1 − p) e tata ana ki te 10, ka tino tata te taumaha o te taumaha e te tuaritanga pūnoa me te ōrite o te tauwaenga me te whakarerekētanga paerewa.
He pēhea te kimi i te tūponotanga o te iti rawa o te k o ngā angitu?
P(X ≥ k) e whakatōpū ana i ngā tūponotanga o k, k+1,... tae atu ki ngā angitu n. E ōrite ana ki te 1 − P(X ≤ k − 1), ā, ka pūrongo tūturu tēnei tātaitai tūponotanga ā-rua i te taha o te uara "nui rawa".
API — whakamahi tēnei tātaitai mai i te waehere
E kī ana tēnei tātaitai hei wāhi mutunga kore JSON - kāore he kī e hiahiatia ana. Ka tukuna ngā uara āpure i raro nei hei tohutoro pātai, JSON rānei. Ka pānui te papatono API katoa →
Whakamutunga
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);Ko ngā hua he whakataunga mō te tohutohu ahuwhānui anake, ehara i te tohutohu moni, rongoā, tāke rānei.