Talk:Lévy's Inversion Formula

Why not write $\map \Pr {a < X < b}$
Under the assumption $\map \Pr {X \in \set {a, b} } = 0$, of course:
 * $\map \Pr {a < X \le b} = \map \Pr {a < X < b} = \map \Pr {a \le X \le b} = \map \Pr {a \le X < b}$

Among them, usually, $\map \Pr {a < X \le b}$ is the preferable choice in probability theory.

One reason is related to Definition:Cumulative Distribution Function, i.e. the fact:
 * $\map {F_X} b - \map {F_X} a = \map \Pr {a < X \le b}$

--Usagiop (talk) 19:18, 22 April 2023 (UTC)