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10 cards from this deck
Cumulative distribution function
Pr(X≤x)\text{Pr}(X \leq x)Pr(X≤x)
F(x)=∫cxf(t) dtF(x) = \int_c^x f(t) \, dtF(x)=∫cxf(t)dt
F(c)=0F(c) = 0F(c)=0
F(d)=1F(d) = 1F(d)=1
Non-decreasing
S-shaped
Always continuous
F′(x)=f(x)F'(x) = f(x)F′(x)=f(x)
F(x)=∫−∞xf(t) dtF(x) = \int_{-\infty}^x f(t) \, dtF(x)=∫−∞xf(t)dt
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