Binomial Probability Calculator
Calculate binomial probabilities and cumulative distributions. Find mean, variance, and standard deviation.
Distribution Visualization
Probability
24.6094%
P(X = 5) = 0.24609375
P(X < 5): 37.6953%
P(X ≤ 5): 62.3047%
P(X > 5): 37.6953%
P(X ≥ 5): 62.3047%
Distribution Statistics
5
Mean (μ)
2.5
Variance (σ²)
1.5811
Std Dev (σ)
Full Distribution
kP(X=k)%
00.0009770.10%
10.0097660.98%
20.0439454.39%
30.11718811.72%
40.20507820.51%
50.24609424.61%
60.20507820.51%
70.11718811.72%
80.0439454.39%
90.0097660.98%
100.0009770.10%

Binomial Distribution

P(X=k) = C(n,k) × p^k × (1-p)^(n-k)
μ = np, σ² = np(1-p)

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