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Distribution function

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Total cards: 2•Content version: v4•Public deck•Updated: 8/1/2026

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#1
Front (Question)

Definition distribution function

Back (Answer)

Let X be a real valued random variable (not necessarily discrete). We define its distribution function, denoted by Fx, as follows Fx: R–>[0,1] Fx = P(X<x)

#2
Front (Question)

General properties of the distribution function

Back (Answer)

1) Fx is increasing 2) Fx is right continuous 3) lim Fx(x) = 0 lim Fx(x) = 1 x->-∞ x->+∞ 4) ∆Fx(x) = P(X=x)