Probability Models 3 unit (KMA305)

Introduction

The unit equips students to proficiently analyse real-world systems with inherent uncertainties using contemporary probability models. Skills and knowledge gained will be applicable to a broad spectrum of scientific and industrial challenges. It deepens understanding through both theory and practice, focusing on core concepts and real-world applications. The unit develops essential skills in applied probability theory, covering random variables, distributions, generating functions, and stochastic and Markovian processes, with an emphasis on intuition and physical interpretation. It provides tools to construct probability models for real-world problems and analyse their behaviour using modern approaches designed to meet the challenges of our evolving society. This unit is a core unit within the Statistics and Decision Science major (Bachelor of Science).

Summary

Unit name	Probability Models 3
Unit code	KMA305
Credit points	12.5
College/School	Sciences and Engineering School of Natural Sciences
Discipline	Mathematics
Coordinator	Associate Professor Malgorzata O'Reilly
Available as an elective?	Yes
Delivered By	University of Tasmania
Level	Advanced

Availability

Specific information on 2027 unit availability will be available in August

Learning Outcomes

• Construct probability models to represent real-world systems and phenomena.
• Apply probability theory to solve and interpret both abstract and applied problems.
• Use mathematical language and notation to explain probability theory and stochastic models.
• State, interpret, and use formal definitions and properties within the axiomatic framework of probability theory.

Fee Information

2027 fee information will be available in August.

Requisites

Prerequisites

Any intermediate level (200 coded) KMA unit

Teaching

Teaching Pattern	Face to face: 1-hr/week pre-recorded video lectures, 1-hr/week online lecture, 1-hr/week tutorial, 1-hr/week lab, 1-hr/week optional online Q&A Online: 1-hr/week pre-recorded video lectures, 1-hr/week online lecture, 1-hr/week online tutorial/lab, 1-hr/week optional online Q&A
Assessment	Demonstration (10%)|Examination (40%)|Assignment (multiple) (50%)
Timetable	View the lecture timetable | View the full unit timetable

Textbooks

Required	Required readings will be listed in the unit outline prior to the start of classes.
Recommended	• S. M. Ross, Introduction to Probability Models. • G. Grimmett and D. Stirzaker, Probability and Random Processes. • S. K. Karlin, A First Course in Stochastic Processes. • W. Feller, An Introduction to Probability Theory and Its Applications, vol. I. • Qi-Ming He, Fundamentals of matrix-analytic methods.

The University reserves the right to amend or remove courses and unit availabilities, as appropriate.