From a7a9e85ec0fe928bd3a4ebe1e7247f57b06d3f29 Mon Sep 17 00:00:00 2001 From: Caleb Burke Date: Tue, 26 May 2026 01:46:35 -0700 Subject: [PATCH] more progress! --- .../README.md | 8 +++++++- .../ch3/notes.ipynb | 8 +++++++- 2 files changed, 14 insertions(+), 2 deletions(-) diff --git a/study/001_introduction-to-probability-statistics-and-random-processes/README.md b/study/001_introduction-to-probability-statistics-and-random-processes/README.md index 11ad8dc..b0b95ac 100644 --- a/study/001_introduction-to-probability-statistics-and-random-processes/README.md +++ b/study/001_introduction-to-probability-statistics-and-random-processes/README.md @@ -2,4 +2,10 @@ total pages=1007 -**Currently reading:** chapter 1, page 153 +**Currently reading:** chapter 3, page 157 + +TODO: + +- ch1 end of chapter problems +- ch2 end of chapter problems +- ch3 end of chapter problems diff --git a/study/001_introduction-to-probability-statistics-and-random-processes/ch3/notes.ipynb b/study/001_introduction-to-probability-statistics-and-random-processes/ch3/notes.ipynb index 8c9ec7f..3f15e9d 100644 --- a/study/001_introduction-to-probability-statistics-and-random-processes/ch3/notes.ipynb +++ b/study/001_introduction-to-probability-statistics-and-random-processes/ch3/notes.ipynb @@ -31,7 +31,13 @@ "id": "9f0046c2", "metadata": {}, "source": [ - "## Discrete Random Variables (3.1.1 - 3.1.2)" + "## Random Variables (3.1.1 - 3.1.2)\n", + "\n", + "***Definition.*** Random Variables: \\\n", + "A random variable $X$ is a function from the sample space to the real numbers. ie\n", + "$$X : S \\to \\mathbb{R}$$\n", + "\n", + "***Definition.*** $X$ is a discrete random variable, if its range is countable\n" ] } ],