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The median and any other percentile is given by reading the point on the x-axis where a horizontal probability line intersects the curve.  The most likely values are associated with those where the CDF is steepest.  Similarly, the PDF shows peaks in the curve at the highest probability intervals.  The EFI can be understood and interpreted with both the CDF and PDF in mind; the former relates to the EFI value, the latter clarifies the connection to probabilities.  A steep slope of the CDF, or equivantly equivalently a narrow peak of the PDF, implies a high confidence in the forecast.

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