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fix: cmf -> pmf

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Youwen Wu 2025-02-16 13:10:03 -08:00
parent 41014ef875
commit c0f7dfd5f4
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2 changed files with 2 additions and 2 deletions
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src/posts/2025-02-16-probability-distributions.md
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@ -82,7 +82,7 @@ $$P(X \leq b) = \int_{- \infty}^{b}f(x)dx$$
for all $b \in {\mathbb{R}}$, then $f$ is the **probability density for all $b \in {\mathbb{R}}$, then $f$ is the **probability density
function** (hereafter abbreviated p.d.f. or PDF) of $X$. function** (hereafter abbreviated p.d.f. or PDF) of $X$.
We immediately see that the p.d.f. is analogous to the c.d.f. of the We immediately see that the p.d.f. is analogous to the p.m.f. of the
discrete case. discrete case.
The probability that $X \in ( - \infty,b\rbrack$ is equal to the area The probability that $X \in ( - \infty,b\rbrack$ is equal to the area

2
typst/2025-02-16-probability-distributions.typ generated
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@ -92,7 +92,7 @@ Now as promised we introduce another major class of random variables.
abbreviated p.d.f. or PDF) of $X$. abbreviated p.d.f. or PDF) of $X$.
] ]
We immediately see that the p.d.f. is analogous to the c.d.f. of the discrete case. We immediately see that the p.d.f. is analogous to the p.m.f. of the discrete case.
The probability that $X in (-infinity, b]$ is equal to the area under the graph The probability that $X in (-infinity, b]$ is equal to the area under the graph
of $f$ from $-infinity$ to $b$. of $f$ from $-infinity$ to $b$.