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Statistics

Uniform Distribution Calculator

Find the cumulative probability and density for a continuous uniform distribution.

Data stays on this deviceConvention explained below
Probability workspace
Probability workspace

Probabilities range from 0 to 1. Check whether the method gives cumulative or exact-count probability.

See the method

Set model parameters

Runs on your device

Your probability

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter lower bound, upper bound, value x.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

CDF = (x−a)/(b−a) inside the interval, zero below and one above; density inside is 1/(b−a).

A WORKED EXAMPLE

Using lower bound = 0, upper bound = 10, value x = 1, the result is 0.1. Change these example inputs to match your task; use the method above to check each step.

Understanding your result

Main result is P(X≤x), a probability between zero and one. Density is not point probability; any single continuous value has probability zero.

What to keep in mind

Main result is P(X≤x), a probability between zero and one. Density is not point probability; any single continuous value has probability zero. A descriptive or probability calculation under the stated assumptions. Check the sample design and model before interpreting results.

Common questions

How do I use this uniform distribution calculator?

Find the cumulative probability and density for a continuous uniform distribution. Enter lower bound, upper bound, value x. The starting example is editable; use values for the same system or project.

Which assumptions affect this result?

Main result is P(X≤x), a probability between zero and one. Density is not point probability; any single continuous value has probability zero.

Methodology maintained by ClarityKit. How these tools are built and checked.