youwen5/alexandria
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions 1

auto-update(nvim): 2025-02-11 18:47:12

Browse source
This commit is contained in:
Youwen Wu 2025-02-11 18:47:12 -08:00
parent 5801adf283
commit 52e2142177
Signed by: youwen5
GPG key ID: 865658ED1FE61EC3
1 changed files with 3 additions and 3 deletions
Show stats Download patch file Download diff file Expand all files Collapse all files

6
documents/by-course/pstat-120a/course-notes/main.typ
View file

@ -1085,9 +1085,9 @@ Denote by $X$ the number of type $A$ objects in our sample.
== Geometric distribution
Consider an infinite sequence of independent trials. e.g. number of attmepts until I make a basket.
Consider an infinite sequence of independent trials. e.g. number of attempts until I make a basket.
Let $X_i$ denote the outcome of the $i^"th"$ trial, where success is 1 and failure is 0. Let $N$ be the number of trials needed to observe the first success in a sequence of independent trials with probabilty of success $p$. Then
Let $X_i$ denote the outcome of the $i^"th"$ trial, where success is 1 and failure is 0. Let $N$ be the number of trials needed to observe the first success in a sequence of independent trials with probability of success $p$. Then
We fail $k-1$ times and succeed on the $k^"th"$ try. Then:
@ -1635,7 +1635,7 @@ Special case: $Gamma(n) = (n - 1)!$ if $n in ZZ^+$.
== The normal (Gaussian) distribution
#definition[
A random variable $ZZ$ has the *standard normal distribution* if $Z$ has
A random variable $Z$ has the *standard normal distribution* if $Z$ has
density function
$