How does the Gamma Dist Calculator work?

Shape parameter α, rate parameter β Then: Mean = α/β, Variance = α/β² Then: PDF: f(x) = (β^α / Γ(α)) × x^(α-1) × e^(-βx) Then: Exponential: special case where α=1.

Can you give an example of how to use the Gamma Dist Calculator?

Example: Input α=2, β=3, x=4 gives a result of P=0.142.

Is the Gamma Dist Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Gamma Dist Calculator?

Our Gamma Dist Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Mathematics

Gamma Dist Calculator

Gamma Distribution

α (shape)

β (scale)

Analyzes gamma distribution generalizing exponential, useful for modeling waiting times and sums.

Difficulty:advanced

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Did You Know?

Chi-squared distribution is gamma with α = k/2, β = 1/2 (k = degrees of freedom).

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Gamma Dist Calculator

Gamma Distribution

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Gamma Distribution