Probability

Binomial Distribution

Compute P(X=k), P(X≤k), mean, and variance for a binomial distribution. Enter n trials, success probability p, and target value k.

Live Calculator · Step-by-Step · Probability
Inputs
Result
Result
Enter values and calculate.
P(X = k)
—
P(X ≤ k)
—
P(X ≥ k)
—
Mean μ
—
= np
Variance σ²
—
= np(1−p)
Std Dev σ
—
= √(np(1−p))

Step-by-Step Work

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Binomial PMF — P(X = k)