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

n — number of trials

p — probability of success (0 to 1)

k — target value

Result

Enter values and calculate.

P(X = k)

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P(X ≤ k)

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P(X ≥ k)

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Mean μ

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= np

Variance σ²

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= np(1−p)

Std Dev σ

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= √(np(1−p))

Step-by-Step Work

Your explanation will appear here.

Binomial PMF — P(X = k)

Put It Into Practice

The calculator shows the steps — a quiz proves you can do them on your own.

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