Statistics & probability
Uniform interval probability
Compare an interval with a continuous uniform distribution’s support.
A clear answer. Here’s how.
For a continuous uniform distribution on [a,b], probability is overlapping interval length divided by b−a. Clips interval bounds to the distribution support. Requires a<b and lower≤upper. Every point has zero probability; equal density does not make an arbitrary dataset uniform.
See a worked example
Worked example
A fixed demonstration, separate from the values you enter above.
- Distribution minimum
- 0
- Distribution maximum
- 10
- Interval lower bound
- 2
- Interval upper bound
- 5
Example result
- Inside interval
- 0.3
- Outside interval
- 0.7
- Model mean
- 5
- Model standard deviation
- 2.88675134595