Continuous distributions · exponential · manipulative

The exponential PDF f(x) = λe⁻λx

Change λ and watch the curve hug zero harder. Shade an interval to see probability as area under the density. Zoom in for the peak or out for the long tail.

f(x) P(a ≤ X ≤ b) mean 1/λ

Scroll zoom · drag pan · Shift+drag an axis to dilate · initial view fits λ ≤ 3 peaks

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Density and probability

mean E(X)
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P(a≤X≤b)