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Probability Models unit (KMA305)

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Unit year 2027

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Location: Hobart

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
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

Location Study period Attendance options Available to
Hobart Semester 1 This unit is available through on-campus delivery Available to International Students Available to Domestic Students
  • Key:
  • This unit is available through on-campus delivery On-campus
  • This unit is available through off-campus delivery Off-Campus
  • Available to International Students International students
  • Available to Domestic Students Domestic students
Note

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Units are offered in attending mode unless otherwise indicated (that is attendance is required at the campus identified). A unit identified as offered by distance, that is there is no requirement for attendance, is identified with a nominal enrolment campus. A unit offered to both attending students and by distance from the same campus is identified as having both modes of study.

Key Dates

Study Period Start date Census date WW date End date
Semester 1 22/02/2027 16/03/2027 19/04/2027 13/06/2027

* The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (refer to How do I withdraw from a unit? for more information).

Unit census dates currently displaying for 2027 are indicative and subject to change. Finalised census dates for 2027 will be available from the 1st October 2026. Note census date cutoff is 11.59pm AEST (AEDT during October to March).

About Census Dates

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

Field of Education Commencing Student Contribution 1,3 Grandfathered Student Contribution 1,3 Approved Pathway Course Student Contribution 2,3 Domestic Full Fee 4
010101 $613.00 $613.00 not applicable
  • Available as a Commonwealth Supported Place
  • HECS-HELP is available on this unit, depending on your eligibility3
  • FEE-HELP is available on this unit, depending on your eligibility4

1 Please refer to more information on student contribution amounts.
2 Please refer to more information on eligibility and Approved Pathway courses.
3 Please refer to more information on eligibility for HECS-HELP.
4 Please refer to more information on eligibility for FEE-HELP.

If you have any questions in relation to the fees, please contact UniConnect or more information is available on StudyAssist.

Please note: international students should refer to What is an indicative Fee? to get an indicative course cost.

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

AssessmentDemonstration (10%)|Examination (40%)|Assignment (multiple) (50%)
TimetableView 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.