Unit convenor and teaching staff |
Unit convenor and teaching staff
Nino Kordzakhia
Hilary Green
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Credit points |
Credit points
3
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Prerequisites |
Prerequisites
(STAT170(P) or STAT171(P)) and (HSC Mathematics or 3cp from MATH123-MATH339) and (STAT175(P) or GPA of 2.0 (out of 4.0))
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Corequisites |
Corequisites
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Co-badged status |
Co-badged status
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Unit description |
Unit description
This unit consolidates and expands upon the material on probability introduced in statistics units at 100 level. The emphasis is on the understanding of probability concepts and their application. Examples are taken from areas as diverse as biology, medicine, finance, sport, 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. Simulation is used to demonstrate many of these concepts.
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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:
Name | Weighting | Due |
---|---|---|
Tutorial work | 10% | Weekly |
Test 2 | 10% | Week 7 |
Test 1 | 10% | Week 3 |
Assignment | 10% | Week 10 |
PC-Lab Test | 10% | Week 12 |
Final Examination | 50% | University exam timetable |
Due: Weekly
Weighting: 10%
In weeks 2 to 12 you are required to submit the tutorial work via iLearn. Students will be given a week to complete the task. The cut-off date will be announced on iLearn. Tutorial works are equally weighted and together worth 10% of the unit assessment.
Due: Week 7
Weighting: 10%
Test 2 will be held in the lecture. You are permitted ONE A4 page of paper containing reference material handwritten on both sides.
Due: Week 3
Weighting: 10%
Test 1 will be held in the lecture. You are permitted ONE A4 page of paper containing reference material handwritten on both sides.
Due: Week 10
Weighting: 10%
The Assignment will be administered via iLearn.
Extension requests for assessments
No extensions will be granted. Students who have not submitted assessment tasks on time will be awarded a mark of 0 for the task, except for cases in which an application for special consideration is made and approved.
Due: Week 12
Weighting: 10%
The PC-Lab Test will be held in Week 12 during the tutorial time.
Due: University exam timetable
Weighting: 50%
A three-hour final examination for this unit will be held during the University Examination period.
You are permitted ONE A4 page of paper containing reference material handwritten on both sides. The pages will not be returned after the end of the final examination.
Calculators will be needed but must not be of the text/programmable type.
You are expected to present yourself for examination at the time and place designated in the University Examination Timetable. The timetable will be available in Draft form approximately eight weeks before the commencement of the examinations and in Final form approximately four weeks before the commencement of the examinations via
http://exams.mq.edu.au/
The Macquarie University Final Examination policy details can be viewed at
http://www.mq.edu.au/policy/docs/examination/policy.htm
Classes
Students will attend three 1-hour lectures and one 1-hour tutorial per week.
Tutorials start in the second week of Session 1.
The timetable for classes can be found at
http://www.timetables.mq.edu.au
iLearn
All unit related materials, lecture notes, tutorials, additional exercises, the assignment and administrative updates, will be posted on the unit website on iLearn at
https://ilearn.mq.edu.au/login/MQ/ . The lecture notes will be made available on iLearn before the lecture.
Additional exercises will also be made available on iLearn. It is expected that students will attempt all the questions. The exercises will not be discussed during the tutorial, although some may be discussed during the lectures. Solutions to exercises will be made available on iLearn.
Software
Microsoft Office will be used in this unit.
The link to online answer engine Wolfram Alpha is available for verifying results of your calculations:
http://www.wolframalpha.com/
Required and Recommended Texts and/or Materials
There is not the textbook set for this unit.
Recommended references include:
Weeks |
Lecture Topics |
W1 |
Experiments, Sample Spaces, Probability Rules, Permutations and Combinations, Theoretical vs. Empirical probability |
W2 Tutorials start |
Conditional Probability, Independence, Bayes’ Theorem |
W3 |
Random Variables, Probability Functions, Discrete Probability Distributions, Cumulative Distribution functions, Expected value and Standard Deviation |
W4 |
Discrete Distributions: Bernoulli, Binomial, Geometric, Poisson. |
W5 |
Discrete Distributions cont.: Negative Binomial and Hypergeometric. Introduction to Continuous random variables |
W6 |
Good Friday Public Holiday (3/4/15) |
Mid –session break: 3/4/15-19/4/15 |
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W7 |
Cumulative distribution function, Functions of Random Variables, Sampling distributions, Uniform and Exponential Distributions |
W8 |
Normal Distribution Model checking, Central Limit Theorem, Normal Approximations |
W9 |
Gamma Distributions, Beta Distributions, Tchebysheff’s Theorem |
W10 |
Chi-squared Distribution, Distribution of sample variance, F-Distribution, Test for Equality of Variance, t- Distribution, Distribution of sample mean (σ unknown) |
W11 |
Joint Distributions: Discrete and Continuous cases. |
W12 |
Joint Distributions: Discrete and Continuous cases. Introduction to Markov Chains States, Transition probabilities, State vectors, Equilibrium, Absorbing States |
W13 |
Review |
Macquarie University policies and procedures are accessible from Policy Central. Students should be aware of the following policies in particular with regard to Learning and Teaching:
Academic Honesty Policy http://mq.edu.au/policy/docs/academic_honesty/policy.html
Assessment Policy http://mq.edu.au/policy/docs/assessment/policy.html
Grading Policy http://mq.edu.au/policy/docs/grading/policy.html
Grade Appeal Policy http://mq.edu.au/policy/docs/gradeappeal/policy.html
Grievance Management Policy http://mq.edu.au/policy/docs/grievance_management/policy.html
Disruption to Studies Policy http://www.mq.edu.au/policy/docs/disruption_studies/policy.html The Disruption to Studies Policy is effective from March 3 2014 and replaces the Special Consideration Policy.
In addition, a number of other policies can be found in the Learning and Teaching Category of Policy Central.
Macquarie University students have a responsibility to be familiar with the Student Code of Conduct: https://students.mq.edu.au/support/student_conduct/
Results shown in iLearn, 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 ask.mq.edu.au.
Macquarie University provides a range of support services for students. For details, visit http://students.mq.edu.au/support/
Learning Skills (mq.edu.au/learningskills) provides academic writing resources and study strategies to improve your marks and take control of your study.
Students with a disability are encouraged to contact the Disability Service who can provide appropriate help with any issues that arise during their studies.
For all student enquiries, visit Student Connect at ask.mq.edu.au
For help with University computer systems and technology, visit http://informatics.mq.edu.au/help/.
When using the University's IT, you must adhere to the Acceptable Use Policy. The policy applies to all who connect to the MQ network including students.
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There is no change made from previous offering.