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Exponential Distribution Calculator

Compute mean, CDF and PDF of the exponential distribution.

Input Data

Input Rate λ.
Input Value x.

Results

2
0.632121
0.18394
Mean = 1/λ; CDF = 1 − e^(−λx).

At a glance:Exponential Distribution Calculator: enter parameters to compute results; complements related calculators.

Formula

Mean = 1/λ.

CDF = 1 − e^(−λx).

PDF = λe^(−λx).

How to Use

  1. Enter rate λ and value x.
  2. It returns mean, CDF and PDF.

Case Studies

λ=0.5, x=2 → mean=2, CDF≈0.6321

CDF = 1 − e^(−1) ≈ 0.6321.

FAQ

Exponential vs Poisson?

Exponential models inter-event times; Poisson models counts per interval—dual models.

Related Tools

References

Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Exponential Distribution Calculator/statistics/exponential-distribution)。