Calculate exact, cumulative, and complementary binomial probabilities. Get mean, variance, standard deviation, and a full probability distribution chart instantly.
Enter trials, successes, and probability of success
Number of independent trials
Target number of successes
Success probability (0 – 1)
Upper bound for range (must be ≥ k)
| k | P(X = k) | P(X ≤ k) | P(X ≥ k) |
|---|
* Highlighted rows = selected k range
Distribution Chart
PMF — Exact Probability
P(X=k) = C(n,k) · pᵏ · (1-p)ⁿ⁻ᵏ
Mean
μ = n × p
Variance
σ² = n × p × (1 − p)
Std Deviation
σ = √(np(1 − p))