Binomial probability
n trials, p success → P(exactly k), P(≤k), P(≥k)
Parameters
P(X=k) = C(n,k)·pᵏ·(1−p)ⁿ⁻ᵏ — the model for 'k successes in n independent trials': coin flips, defects on a line, click conversion. Expectation E = n·p, σ = √(n·p·(1−p)). Example: P(exactly 3 heads in 10) = 11.7%.
Probabilities
- P(X = k)
- 11.72%
- P(X ≤ k)
- 17.19%
- P(X ≥ k)
- 94.53%
- E = n·p
- 5.00
- σ
- 1.581