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THE FEUTEX TOOLKIT

Exponential Lifetime Profile

Calculate survival probability, cumulative probability and typical waiting times under constant hazard.

Probability workspace● Runs in your browser
01 Your input
02 Your result
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FormulaSurvival = exp(-rate*t); Cdf = -expm1(-rate*t); Mean = 1/rate; Median = log(2)/rate
Sources and model references

Worked example

Inputs

Rate
0.5 1/time
Elapsed time
2 time

Expected results

Survival
0.3678794412 probability
Cdf
0.6321205588 probability
Mean
2 time
Median
1.386294361 time

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter the labeled inputs using consistent units.
  2. Check the stated assumptions and calculate.
  3. Review each output and compare another input scenario.

Try this example

{
  "rate": 0.5,
  "t": 2
}

Accuracy and scope

Constant hazard and memoryless waiting-time assumption. Finite floating-point arithmetic; results can lose precision near singular or extreme inputs.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.