Statistics & Probability

Binomial Distribution Calculator

Lets users solve and check binomial distribution instantly with formula, steps and examples — no manual math.

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01
Your result
P(X = k)
11.72%

P(X = 3) = 11.719%; P(X ≤ 3) = 17.188%.

P(X ≤ k)
17.19%
Mean (np)
5
Std deviation
1.5811

About this calculator

Binomial probability of exactly k successes in n independent trials: P = C(n,k)·pᵏ·(1−p)ⁿ⁻ᵏ. Mean = np, variance = np(1−p).

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