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Exponential Distribution λ PDF & CDF Calculator

f(x) = λe^(−λx); F(x) = 1−e^(−λx) — time between events.

Calculates the PDF, CDF, mean, and variance of an exponential distribution from rate parameter λ at a given value x.

Priya Venkatesan By Priya Venkatesan
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

f(x) = λe^(−λx); F(x) = 1−e^(−λx); E[X] = 1/λ

In depth

Calculates the PDF, CDF, mean, and variance of an exponential distribution from rate parameter λ at a given value x.