The circles below show some randomly chosen points on a cumulative distribution function. The blue curve connects them with straight lines*. The grey curve is the Weibull distribution which best fits the points**.

Cumulative Probability Distribution

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Probability Density

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Calculating best fit Weibull distribution...

The best fit Weibull distribution has shape parameter , scale , and location .

* Values interpolated using piecewise linear interpolation (the blue curve above)
** Values interpolated using the Weibull cumulative distribution which minimises the squared deviation from the assessed points (the grey curve above)