Uniform Distribution Calculator

Continuous uniform distribution on [a, b]: density, cumulative probability, interval probability, mean and variance.

Your result will appear here

Fill in the fields and press Calculate, or pick one of the examples.

About the Uniform Distribution Calculator

A continuous uniform distribution on [a, b] makes every value in the interval equally likely. Probabilities are simply proportions of the interval’s length.

How to use it

Enter the lower and upper bounds a and b.
Enter the interval from x₁ to x₂ whose probability you want.
Press Calculate.

Example

a = 0, b = 10, P(2 < X < 5)

→ 0.3

Formulas used

f(x) = \frac{1}{b - a}\ \text{for } a \le x \le b

Constant density on the interval.

\mu = \frac{a + b}{2},\qquad \sigma^{2} = \frac{(b - a)^{2}}{12}

Mean and variance.

Normal Distribution CalculatorNormal probabilities below, above or between values, the density, and inverse lookups, with the shaded bell curve.Probability CalculatorBasic, complement, conditional, independent and dependent event probabilities with the rule used shown for each result.

About the Uniform Distribution Calculator

How to use it

Formulas used

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About the Uniform Distribution Calculator

How to use it

Formulas used