Calculate the expected value, 𝐸 (𝑋) = 𝜇 = ∫ 𝑥𝑝(𝑥)𝑑𝑥 ∞ −∞, of a continuous random variable where 𝑝(𝑥) is the probability density function.

mm-u4-t3-s1-d3

Interactive

Continuous E(X) as a balance point

manipulative

The mean of a continuous RV is the fulcrum of the density, ∫ x p(x) dx — not the peak.

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