Probability & Mathematical Statistics

Probability axioms, discrete and continuous distributions, expected value, hypothesis testing, confidence intervals, and regression.

Course Overview

Textbook

TBD (Wackerly or DeGroot)

Chapters

TBD

Sections

TBD

Prerequisites

Calculus II

Target

Foundation for machine learning, security analytics, data science

Status

Planned

Chapters will be scaffolded when this course becomes active.

Why This Course

  • Security — anomaly detection, entropy, information theory

  • Machine learning — Bayesian methods, maximum likelihood estimation

  • Networking — traffic modeling, SLA calculations, capacity planning

  • Quality assurance — hypothesis testing, A/B testing

  • Risk analysis — quantifying uncertainty in engineering decisions