Binomial distribution

Enter n, p and k, and choose the mode.

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With n = 10 and p = 0.5, P(X = 5) ≈ 0.2461.

Example

Compute exact or cumulative binomial probabilities.

With n = 10 and p = 0.5, P(X = 5) ≈ 0.2461.

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Methodology

Exact probabilities use C(n, k) × pᵏ × (1 − p)ⁿ⁻ᵏ; cumulative sums them.