Probability Theory (STAT20110)

Credits 
5 
Subject 
Statistics & Actuarial Science 
Level 
2 
School 
Mathematics and Statistics 
Semester 
Semester One 
Module Coordinator 
Professor Neil O'Connell 
This module deals with topics such as the origins of probability theory, combinatorics and classic discrete and continuous random variables. Moment generating functions, means and variances. Standard probability distributions. Discrete distributions:Binomial, geometric, negative binomial, hypergeometric, Poisson. Continuous distributions: normal, exponential, gamma, beta, chisquare. Discrete bivariate distributions, covariance and correlation. The Central limit theorem and applications.
An ability to understand the origins and practical uses of probability theory. An ability to appropriately use many of the classic probability distributions such as the binomial, geometric, hypergeometric, uniform, Poisson, normal, exponential, gamma, chi square and beta. A basic knowledge of discrete bivariate distributions. An appreciation and ability to use the central limit theorem.
 Hrs/Semester 
Lectures  24 
Tutorial  11 
Computer Aided Lab  11 
Autonomous Student Learning  77 
Total Workload  123 
 % of Final Grade  Timing 
Examination: Final 2 hour written exam.  100  2 hour End of Semester Exam 
Compensation 
This module is not passable by compensation 
Resit Opportunities 
End of Semester Exam 
Remediation 
If you fail this module you may repeat, resit or substitute where permissible. 
Module Requisites and Incompatibles 
PreRequisite : 
Required : 
CoRequisite : 
Incompatibles : Research Methods (STAT10010), Research Methods for Science (STAT10140) 
Additional Information : 
Equivalent Modules 

Prior Learning 
Requirements: 

Excluded: 

Recommended: 
Desirable to already have taken a basic course in Statistics and be familar with integration and differentiation. 
Timetabling information is displayed only for guidance purposes, relates only to 2017/2018, and is subject to change.
For an explanation of the week ranges referred to below, please click here:
Tutorial  Semester 1 Offering 1  Mon: 13:0013:50 (3, 4, 5, 6, 7, 8, 9, 10, 11, 12) 
Tutorial  Semester 1 Offering 2  Tue: 15:0015:50 (3, 4, 5, 6, 7, 8, 9, 10, 11, 12) 
Tutorial  Semester 1 Offering 3  Wed: 14:0014:50 (3, 4, 5, 6, 7, 8, 9, 10, 11, 12) 
Tutorial  Semester 1 Offering 4  Tue: 14:0014:50 (3, 4, 5, 6, 7, 8, 9, 10, 11, 12) 
Lectures  Semester 1 Offering 1  Thu: 13:0013:50 (Sem1: All Weeks) 
Lectures  Semester 1 Offering 1  Fri: 14:0014:50 (Sem1: All Weeks) 
Lectures  Semester 1 Offering 1  Thu: 10:0010:50 (Sem1: All Weeks) 