How to use this tool
- Enter event rate per time unit, waiting time.
- Select Calculate to view the result.
- Check the method and assumptions below before using the result.
Input reference and sample values
Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.
| Input | Format and units | Sample |
|---|---|---|
| Event rate per time unit | Numeric value. Must be greater than zero. | 0.5 |
| Waiting time | Numeric value. Unit: time units. Zero or positive. | 2 |
Result for these sample inputs
0.367879441 probability
Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.
The method, explained
P(T > t) = exp(−rate × time).
Using event rate per time unit = 0.5, waiting time = 2 time units, the result is 0.367879441 probability. Change these example inputs to match your task; use the method above to check each step.
What to keep in mind
Constant-rate memoryless model. Rate and time units must correspond. A descriptive or probability calculation under the stated assumptions. Check the sample design and model before interpreting results.
Methodology maintained by ClarityKit. How these tools are built and checked.