| Unit convenor and teaching staff |
Unit convenor and teaching staff
Unit Convenor
Jun Han
Contact via email
See iLearn for consultation hours.
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|---|---|
| Credit points |
Credit points
10
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| Prerequisites |
Prerequisites
(FOSE1015 or STAT1170 or STAT1371 or STAT1250) and ((HSC Mathematics Advanced Band 4 and above or Extension 1 Band E2 and above or Extension 2 Band E2 or above) or (10cp from FOSE1005 or MATH1010-MATH1025))
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| Corequisites |
Corequisites
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| Co-badged status |
Co-badged status
STAT6183
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| Unit description |
Unit description
This unit consolidates and expands upon the material on probability introduced in statistics units at 1000-level. The emphasis is on the understanding of probability concepts and their applications. Examples are taken from areas as diverse as biology, medicine, finance, sports, and the social and physical sciences. Topics include: the foundations of probability; probability models and their properties; some commonly used statistical distributions; relationships and association between variables; distribution of functions of random variables and sample statistics; approximations including the central limit theorem; and an introduction to the behaviour of random processes. Students will also gain experience in using simulations to demonstrate many of these concepts. |
Information about important academic dates including deadlines for withdrawing from units are available at https://www.mq.edu.au/study/calendar-of-dates
On successful completion of this unit, you will be able to:
Attendance and participation
We strongly encourage all students to participate actively in all learning activities. Regular engagement is crucial for your success in this unit, as these activities provide opportunities to deepen your understanding of the material, collaborate with peers, and receive valuable feedback from instructors, to assist in completing the unit assessments. Your active participation not only enhances your own learning experience but also contributes to a vibrant and dynamic learning environment for everyone.
Requirements to Pass this Unit
To pass this unit, you must:
Achieve a total mark equal to or greater than 50%.
Hurdle Assessments
There is no Hurdle Assessment in this unit.
Late Submission Policy
5% penalty per day: If you submit your assessment late, 5% of the total possible marks will be deducted for each day (including weekends), up to 7 days.
Example 1 (out of 100): If you score 85/100 but submit 20 hours late, you will lose 5 marks and receive 80/100.
Example 2 (out of 30): If you score 27/30 but submit 1 day late, you will lose 1.5 marks and receive 25.5/30.
After 7 days: Submissions more than 7 days late will receive a mark of 0.
Extensions:
Automatic short extension: Some assessments are eligible for automatic short extension. You can only apply for an automatic short extension before the due date.
Special Consideration: If you need more time due to serious issues and for any assessments that are not eligible for Short Extension, you must apply for Special Consideration.
Need help? Review the Special Consideration page HERE.
Assessments where Late Submissions will be accepted:
Special Consideration
The Special Consideration Policy aims to support students who have been impacted by short-term circumstances or events that are serious, unavoidable, and significantly disruptive, and which may affect their performance in assessment. If you experience circumstances or events that affect your ability to complete the assessments in this unit on time, please inform the convenor and submit a Special Consideration request through https://connect.mq.edu.au.
Written Assessments/Quizzes/Tests: If you experience circumstances or events that affect your ability to complete the written assessments in this unit on time, please inform the convenor and submit a Special Consideration request through https://connect.mq.edu.au.
| Name | Weighting | Hurdle | Due | Groupwork/Individual | Short Extension | AI assisted? |
|---|---|---|---|---|---|---|
| Assignment | 25% | No | 20/03/2026 | Individual | No | Open AI |
| Skill exercise | 25% | No | 29/05/2026 | Individual | No | Open AI |
| Final Exam | 50% | No | Exam Period | Individual | No | Observed |
Assessment Type 1: Problem-based task
Indicative Time on Task 2: 10 hours
Due: 20/03/2026
Weighting: 25%
Groupwork/Individual: Individual
Short extension 3: No
AI assisted?: Open
You will reinforce your understanding by applying the concepts and skills from this unit to solve a set of problems.
Assessment Type 1: Experiential task
Indicative Time on Task 2: 14 hours
Due: 29/05/2026
Weighting: 25%
Groupwork/Individual: Individual
Short extension 3: No
AI assisted?: Open
You will reinforce your understanding by applying the concepts and skills from this unit to solve a set of problems, presented in both paper-based and pre-recorded video formats.
Assessment Type 1: Examination
Indicative Time on Task 2: 10 hours
Due: Exam Period
Weighting: 50%
Groupwork/Individual: Individual
Short extension 3: No
AI assisted?: Observed
You will complete a formal invigilated examination to demonstrate your achievement of the unit’s learning outcomes by recalling, applying, and evaluating key concepts.
1 If you need help with your assignment, please contact:
2 Indicative time-on-task is an estimate of the time required for completion of the assessment task and is subject to individual variation.
3 An automatic short extension is available for some assessments. Apply through the Service Connect Portal.
Classes
Workshops (beginning in Week 1): There is one 1-hour workshop each week. During this hour, we will provide a brief overview of the week's content, run a Q&A session, and engage in some interesting activities together.
Pre-recorded Lectures (released weekly from Week 1): There are no formal live lectures scheduled for this unit. Each week, we will have some video recordings covering the unit materials.
SGTA classes (beginning in Week 2): Students must register for and attend one 2-hour class per week.
The timetable for classes can be found on the University website at: https://publish.mq.edu.au
Enrolment can be managed using eStudent at: https://students.mq.edu.au/support/technology/systems/estudent
Technology Used and Required
This subject requires the use of the following computer software:
Students are invited to bring their own devices (BYOD), and a laptop is recommended. Acceptable platforms are Windows, Linux, and Mac.
Suggested textbooks
There is no required textbook for this unit. Students may benefit from having access to the following background reference for additional reading and problems:
The following books may also be useful background references:
At least one copy of each of these is available in the Library, and extra copies may be available on the shelves for borrowing purposes.
Communication
We will communicate with you via your university email or through announcements on iLearn. Queries to convenors can either be placed on the iLearn discussion forum or sent to your lecturers from your university email address.
| Week | Material Covered |
| 1 | Experiments, sample spaces, Probability Rules, Permutations and Combinations. |
| 2 | Conditional Probability. Independence, Bayes’ Theorem. |
| 3 | Random Variables. Probability Functions, Discrete Probability Distributions, Cumulative Distribution functions, Expected value and Variance. Moments. |
| 4 | Important Discrete Distributions: Bernoulli, Binomial, Geometric and Poisson. |
| 5 | Moment generating functions. Discrete Distributions: Negative Binomial and Hypergeometric. |
| 6 | Introduction to Continuous random variables. Cumulative distribution function. |
| Session 1 Break | |
| 7 | Continuous Distributions: Uniform, Exponential. |
| 8 | Normal Distribution. |
| 9 | Continuous Distributions: Gamma and Beta Distributions. Chebyshev’s Theorem. |
| 10 | Sampling Distributions. |
| 11 | Joint Distributions: Discrete and Continuous cases. |
| 12 | Introduction to stochastic processes. Markov Chains. |
| 13 | Revision. |
Macquarie University policies and procedures are accessible from Policy Central (https://policies.mq.edu.au). Students should be aware of the following policies in particular with regard to Learning and Teaching:
Students seeking more policy resources can visit Student Policies (https://students.mq.edu.au/support/study/policies). It is your one-stop-shop for the key policies you need to know about throughout your undergraduate student journey.
To find other policies relating to Teaching and Learning, visit Policy Central (https://policies.mq.edu.au) and use the search tool.
Macquarie University students have a responsibility to be familiar with the Student Code of Conduct: https://students.mq.edu.au/admin/other-resources/student-conduct
Results published on platform other than eStudent, (eg. iLearn, Coursera etc.) or released directly by your Unit Convenor, are not confirmed as they are subject to final approval by the University. Once approved, final results will be sent to your student email address and will be made available in eStudent. For more information visit connect.mq.edu.au or if you are a Global MBA student contact globalmba.support@mq.edu.au
At Macquarie, we believe academic integrity – honesty, respect, trust, responsibility, fairness and courage – is at the core of learning, teaching and research. We recognise that meeting the expectations required to complete your assessments can be challenging. So, we offer you a range of resources and services to help you reach your potential, including free online writing and maths support, academic skills development and wellbeing consultations.
Macquarie University provides a range of support services for students. For details, visit http://students.mq.edu.au/support/
Academic Success provides resources to develop your English language proficiency, academic writing, and communication skills.
The Library provides online and face to face support to help you find and use relevant information resources.
Macquarie University offers a range of Student Support Services including:
Got a question? Ask us via the Service Connect Portal, or contact Service Connect.
For help with University computer systems and technology, visit http://www.mq.edu.au/about_us/offices_and_units/information_technology/help/.
When using the University's IT, you must adhere to the Acceptable Use of IT Resources Policy. The policy applies to all who connect to the MQ network including students.
The previous 2-hour lecture has been replaced with pre-recorded lecture videos and a 1-hour workshop. The videos introduce the core statistical concepts, and you are expected to review them before class. The workshop will focus on worked examples, problem-solving, and questions to help you apply the material and prepare for the assessments.
To enable students more time to focus on learning, understanding, and reflecting on the content of our unit, we have revised the assessment structure as follows. There are now only three assessments: an assignment, a skill exercise, and a final exam. Although no marks are associated with attendance, all activities provide you with key content designed to help you understand the content and complete the assessments.
Unit information based on version 2026.02 of the Handbook