Statistics & probability

Continuous uniform interval probability calculator

Find the probability mass of an interval under a continuous uniform distribution.

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Behind the numbers

How this calculation works

Any part of the event interval outside the distribution support contributes zero probability.

THE FORMULAP = length(event ∩ support)/length(support)

A worked example

The interval 2 to 5 has length 3 out of a uniform support length of 10.

Good to know

A single exact value has probability zero.

Read the result

Find the probability mass of an interval under a continuous uniform distribution.

The primary result is labeled “Interval probability”. Keep the input definitions in view when comparing this result with another method.

Try a related calculation

A single exact value has probability zero.

For a related exercise, try the statistics calculator.

A few questions, answered

How can I check the default inputs by hand?

The interval 2 to 5 has length 3 out of a uniform support length of 10.

Which rule does this calculator apply?

P = length(event ∩ support)/length(support)

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