File:prob-02-random-variables-distribution-function.png

Figure file · Random variables and distributions

Mass, density and distribution function. Left: a fair die’s mass function, and its distribution function, a right-continuous staircase whose jumps are the masses. Right: an \operatorname{Exp}(1) density, with \mathbb{P}(0.5<X\le1.6) as the area under it, and the same probability as the rise F(1.6)-F(0.5) of the distribution function.

Mass, density and distribution function. Left: a fair die’s mass function, and its distribution function, a right-continuous staircase whose jumps are the masses. Right: an \operatorname{Exp}(1) density, with \mathbb{P}(0.5<X\le1.6) as the area under it, and the same probability as the rise F(1.6)-F(0.5) of the distribution function.

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Description. Mass, density and distribution function. Left: a fair die’s mass function, and its distribution function, a right-continuous staircase whose jumps are the masses. Right: an \operatorname{Exp}(1) density, with \mathbb{P}(0.5<X\le1.6) as the area under it, and the same probability as the rise F(1.6)-F(0.5) of the distribution function.

Appears in. Random variables and distributions

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