From 52e21421773d64ccaca6513ddaf64f3dc40e0c32 Mon Sep 17 00:00:00 2001 From: Youwen Wu Date: Tue, 11 Feb 2025 18:47:12 -0800 Subject: [PATCH] auto-update(nvim): 2025-02-11 18:47:12 --- documents/by-course/pstat-120a/course-notes/main.typ | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/documents/by-course/pstat-120a/course-notes/main.typ b/documents/by-course/pstat-120a/course-notes/main.typ index 8a5c62e..156bfed 100644 --- a/documents/by-course/pstat-120a/course-notes/main.typ +++ b/documents/by-course/pstat-120a/course-notes/main.typ @@ -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 $