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Negative Binomial Distribution Mean Calculator

Mean = r(1−p)/p for failures before r successes.

Calculates the mean and variance of a negative binomial distribution from the number of required successes r and success probability p.

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Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

μ = r(1−p)/p; Var = r(1−p)/p²

In depth

Calculates the mean and variance of a negative binomial distribution from the number of required successes r and success probability p.