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10 cards from this deck
E(X)=∫−∞∞xf(x) dxE(X) = \int_{-\infty}^{\infty} x f(x) \, dxE(X)=∫−∞∞xf(x)dx
μ\muμ (mu)
Long-run average value
∫−∞∞g(x)f(x) dx\int_{-\infty}^{\infty} g(x)f(x) \, dx∫−∞∞g(x)f(x)dx
E[g(X)]≠g[E(X)]E[g(X)] \neq g[E(X)]E[g(X)]=g[E(X)] generally
aE(X)+baE(X) + baE(X)+b
Value ppp where ∫−∞pf(x) dx=q\int_{-\infty}^{p} f(x) \, dx = q∫−∞pf(x)dx=q
Median
∫−∞mf(x) dx=0.5\int_{-\infty}^{m} f(x) \, dx = 0.5∫−∞mf(x)dx=0.5
Divides area exactly in half
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