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THE FEUTEX TOOLKIT

Kumaraswamy Bounded Probability

Evaluate a flexible continuous probability model for a quantity bounded between zero and one.

Probability workspace● Runs in your browser
01 Your input
02 Your result
View or copy raw result data
FormulaCdf = 1-(1-x**a)**b; Density = a*b*x**(a-1)*(1-x**a)**(b-1)
Sources and model references

Made for real tasks

  • Evaluate a flexible continuous probability model for a quantity bounded between zero and one.
Explore step-by-step workflows →

Worked example

Inputs

First shape
2 number
Second shape
3 number
Bounded value
0.5 fraction

Expected results

Cdf
0.578125 probability
Density
1.6875 number

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter first shape, second shape, bounded value.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "a": 2,
  "b": 3,
  "x": 0.5
}

Accuracy and scope

Continuous model on (0,1); density is not an event probability.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.