From 79c56d47d98a163ff349fc2e4e2c58785c20f875 Mon Sep 17 00:00:00 2001
From: Isaac Shoebottom <ir.shoebottom@gmail.ca>
Date: Mon, 29 Jan 2024 09:56:47 -0400
Subject: [PATCH] 2024-01-29 09:56:47

---
 .obsidian/workspace.json                     | 22 ++++++++++----------
 UNB/Year 4/Semester 2/STAT2593/2024-01-29.md | 22 ++++++++++++++++++++
 2 files changed, 33 insertions(+), 11 deletions(-)
 create mode 100644 UNB/Year 4/Semester 2/STAT2593/2024-01-29.md

diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index c5cf82d..6877334 100644
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -4,16 +4,16 @@
     "type": "split",
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+        "id": "12142c95ed24c02b",
         "type": "tabs",
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-            "id": "64b233ae6a058454",
+            "id": "4512014e685326f2",
             "type": "leaf",
             "state": {
               "type": "markdown",
               "state": {
-                "file": "UNB/Year 4/Semester 2/CS2333/2024-01-26.md",
+                "file": "UNB/Year 4/Semester 2/STAT2593/2024-01-29.md",
                 "mode": "source",
                 "source": false
               }
@@ -85,7 +85,7 @@
             "state": {
               "type": "backlink",
               "state": {
-                "file": "UNB/Year 4/Semester 2/CS2333/2024-01-26.md",
+                "file": "UNB/Year 4/Semester 2/STAT2593/2024-01-29.md",
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                 "extraContext": false,
                 "sortOrder": "alphabetical",
@@ -102,7 +102,7 @@
             "state": {
               "type": "outgoing-link",
               "state": {
-                "file": "UNB/Year 4/Semester 2/CS2333/2024-01-26.md",
+                "file": "UNB/Year 4/Semester 2/STAT2593/2024-01-29.md",
                 "linksCollapsed": false,
                 "unlinkedCollapsed": true
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@@ -125,7 +125,7 @@
             "state": {
               "type": "outline",
               "state": {
-                "file": "UNB/Year 4/Semester 2/CS2333/2024-01-26.md"
+                "file": "UNB/Year 4/Semester 2/STAT2593/2024-01-29.md"
               }
             }
           },
@@ -156,16 +156,17 @@
       "table-editor-obsidian:Advanced Tables Toolbar": false
     }
   },
-  "active": "64b233ae6a058454",
+  "active": "4512014e685326f2",
   "lastOpenFiles": [
+    "UNB/Year 4/Semester 2/STAT2593/2024-01-29.md",
+    "UNB/Year 4/Semester 2/STAT2593/2024-01-26.md",
+    "UNB/Year 4/Semester 2/CS2333/2024-01-24.md",
     "UNB/Year 4/Semester 2/CS3873/2024-01-26.md",
     "UNB/Year 4/Semester 2/CS2333/2024-01-26.md",
-    "UNB/Year 4/Semester 2/STAT2593/2024-01-26.md",
-    "UNB/Year 4/Semester 2/CS2333/2024-01-22.md",
-    "UNB/Year 4/Semester 2/CS2333/2024-01-24.md",
     "UNB/Year 4/Semester 2/CS3873/2024-01-24.md",
     "UNB/Year 4/Semester 2/CS3873/2024-01-22.md",
     "UNB/Year 4/Semester 2/STAT2593/2024-01-24.md",
+    "UNB/Year 4/Semester 2/CS2333/2024-01-22.md",
     "UNB/Year 4/Semester 2/CS2333/2024-01-19.md",
     "UNB/Year 4/Semester 2/CS3873/2024-01-19.md",
     "UNB/Year 4/Semester 2/STAT2593/2024-01-22.md",
@@ -190,7 +191,6 @@
     "Semester 1/CS3418/Exam Studying.md",
     "Semester 2/CS3873",
     "Semester 1/CS3418/11-27-2023.md",
-    "Semester 1/CS3418/11-24-2023.md",
     "Semester 1/CS2418",
     "Semester 1/CS3418"
   ]
diff --git a/UNB/Year 4/Semester 2/STAT2593/2024-01-29.md b/UNB/Year 4/Semester 2/STAT2593/2024-01-29.md
new file mode 100644
index 0000000..7b8ea66
--- /dev/null
+++ b/UNB/Year 4/Semester 2/STAT2593/2024-01-29.md	
@@ -0,0 +1,22 @@
+Lecture Topic: Binomial Distribution
+
+# Requirements of Binomial Experiments
+- (n) independent trials
+- Possible outcomes: success (S) and failure (F)
+- Success probability (p)
+
+## Formula
+The pmf of binomial rv $X$ depends on two parameters $n$ and $p$. We denote the pmf by $b(x; n,p)$
+$$b(x;n,p) = \{
+\begin{pmatrix}
+n \\
+p \\
+\end{pmatrix}
+p^x(1-p)^{n-x}
+\}$$
+$x = 0, 1, 2, ..., n$
+
+If X ~ b(x; n,p), then 
+1. E(X) = np
+2. V(X) = np(1-p)
+