Binomial Probability

Binomial probability and cumulative distribution: exactly, at most, at least k successes

P(X = k) = C(n,k) · pᵏ · (1−p)ⁿ⁻ᵏ
P(X = k)
17.6197%
P(X ≤ k)
58.8099%
P(X ≥ k)
58.8099%
Mean ± SD
10.00 ± 2.24
Binomial PMFProbability mass function bars with the chosen k highlighted.P(X = 10) = 17.62% · μ = 10.00