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2011/2 Provisional Module Catalogue - UNDER CONSTRUCTION & SUBJECT TO CHANGE
 Module Code: MAT1033 Module Title: PROBABILITY
Module Provider: Mathematics Short Name: MAT1033
Level: HE1 Module Co-ordinator:
Number of credits: 15 Number of ECTS credits: 7.5
 
Module Availability
Semester 2
Assessment Pattern
 
Assessment Pattern
Unit(s) of Assessment
Weighting Towards
Module Mark( %)
Tests: 1 or more
25
Exam: End of Spring semester
75
Qualifying Condition(s) 
A weighted aggregate mark of 40% is required to pass the module.
 
 
Module Overview
Prerequisites/Co-requisites
None.
Module Aims

This module introduces students to mathematical probability theory and its applications to statistics.

Learning Outcomes

By the end of this module a student should be able to:

• Apply basic results in probability, distribution theory and statistical inference to straightforward problems.

• Use the statistical package R to perform statistical calculations and to produce numerical and graphical data summaries.

Module Content

• Probability theory, including Bayes' Theorem.
• Some standard discrete distributions: binomial, Poisson, hypergeometric, and continuous distributions: normal, exponential.
• Expectation and moments.
• Probability generating functions.
• Sums of random variables.
• Statement of the central limit theorem.
• Sampling distributions.
• Inference for means and proportions.
• Estimation: unbiased estimators; maximum likelihood and moment estimators.
• Hypothesis testing: Type I and II errors, power.
• Chi-squared Goodness of fit.
• An Introduction to R.

Methods of Teaching/Learning

Teaching is by lectures, tutorials, computer lab sessions and tests. Learning takes place through lectures, tutorials, computer lab sessions, tests and exercise sheets.
40 hours of lectures, tutorials and lab sessions over 12 weeks in the Spring semester.

Selected Texts/Journals

Recommended Reading:

• G.M. Clarke and D. Cooke, A Basic Course in Statistics, Arnold
• John E. Freund, Mathematical Statistics with Applications, Prentice Hall

Last Updated
21 April 2011