Kalkulator na Binomial Probability

Find the probability of k successes in n independent trials.

%
P(X = k) —
P(X ≤ k) —
P(X ≥ k) —
Median (n·p) —
Variance —
Standard deviation —

Results update as you type.

Shin wannan Kalkulator ya ba ka amsa madaidaiciya?

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the binomial distribution, the probability of exactly k successes is equal to the probability of at least k successes. 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 probability calculator uses the binomial distribution to model the number of successes.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:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:TheWorked example:The

Tambayoyi da ake yi da yawa

QSoftKeyManager

Use it when there is a fixed number of independent trials, each trial has just two outcomes (success or failure), and the success probability is the same every time — like flipping a coin 10 times or counting defective items in a batch.

Mẽne ne bambanci a tsakãnin P(X = k) da P(X ≤ k)?

P(X = k) shine yiwuwar k nasara, yayin da P(X ≤ k) ke ƙara yiwuwar 0, 1,... har zuwa k nasara. Nau'in cumulative na amsa tambayoyi kamar "Mene ne yiwuwar mafi yawan 3 nasara?"

Me ya sa "n zaɓi k"?

C(n, k), read "n choose k", is the number of different ways to pick which k of the n trials are the successes. For 10 trials and 3 successes there are C(10, 3) = 120 such combinations, and each contributes to the total probability.

Mece ce ma'ana da kuma tabbataccen ɓacewa na rarraba binomiyya?

The mean (expected number of successes) is n·p and the variance is n·p·(1 − p), so the standard deviation is √(n·p·(1 − p)). For 10 fair coin flips the mean is 5 and the standard deviation about 1.58.

Yaushe zan iya kusantar da binominal da wani rarraba na al'ada?

Idan n ya fi girma kuma n·p da n·(1 − p) duka sun fi kusan 10, to, an yi daidaita binominal ɗin da wani rarraba na al'ada tare da daidaitattun matsakaicin da kuma daidaitattun rarrabawa. Wannan shi ne tushe na gwajin rarrabawa masu yawa na girma.

Ta yaya zan samu yiwuwar k nasara?

P(X ≥ k) na hada yiwuwar k, k+1,... har zuwa nasara n. Yana daidai da 1 − P(X ≤ k − 1), kuma wannan Kalkulata na yiwuwar binomial na nuna shi kai tsaye tare da kimar "a mafi yawan"

QSoftKeyManager

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[Translation temporarily unavailable. Please try again.] Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. [Translation temporarily unavailable. Please try again.] →

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);

Results are estimates for general guidance only, not financial, medical or tax advice.