Uniform Distribution Calculator

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Calculates probabilities for a continuous uniform distribution where all outcomes within a range are equally likely.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Lower Bound (a), Upper Bound (b), Minimum Value (x₁), and Maximum Value (x₂) in the units shown.

Step 2

Read Probability Density Function (PDF) and Probability P(x₁ ≤ X ≤ x₂) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

See the inputs and their calculated results.

Lower Bound (a): 0; Upper Bound (b): 10; Minimum Value (x₁): 2; Maximum Value (x₂): 5

Probability Density Function (PDF): 0.1; Probability P(x₁ ≤ X ≤ x₂): 0.3

Lower Bound (a): 1; Upper Bound (b): 5; Minimum Value (x₁): 2; Maximum Value (x₂): 3

Probability Density Function (PDF): 0.25; Probability P(x₁ ≤ X ≤ x₂): 0.25

Lower Bound (a): 0; Upper Bound (b): 1; Minimum Value (x₁): 0.2; Maximum Value (x₂): 0.8

Probability Density Function (PDF): 1; Probability P(x₁ ≤ X ≤ x₂): 0.6

Explore the topic

Use calculators for algebra, geometry, trigonometry, probability, statistics, averages, z-scores, tests, and graphing tasks.

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