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Exponential Waiting Time

Estimate the probability an event arrives within a waiting interval.

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Local calculations. Results are estimates, not professional advice.

Arrival by threshold

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The exponential model assumes a constant hazard and memoryless waiting.

Formula

P(T≤t)=1−e⁻ᵗᐟᵐ

Estimate the probability an event arrives within a waiting interval.

Worked example

Mean waiting time
10
Waiting threshold
5
Arrival by threshold
39.3469340287 %
Still waiting at threshold
60.6530659713 %

Scope and limitations

The exponential model assumes a constant hazard and memoryless waiting.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: 2dbdc02e06e2 · Example checked:

Methodology

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