The module runs in Term 2 and provides elementary introduction to the theory of probability. The topics include axioms of probability, combinatorics, independent events, conditional probability, random variables, discrete and continuous probability distributions, expectation and variance, joint probability distributions, independence of random variables, sum of independent random variables, covariance and correlation.
This module is core for students with their home department in Statistics and is not available to students from other departments. Students from other departments should consider ST111 Probability A and ST112 Probability B instead.
To lay the foundation for all subsequent modules in probability and statistics, by introducing the key notions of mathematical probability and developing the techniques for working with probability distributions and random variables.
This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.
By the end of the module, students should be able to:
Ross, A first course in probability, Prentice Hall, 1994
Pitman, Probability, Springer texts in Statistics
Suhov and Kelbert, Probability and Statistics by Example: Basic Probability and Statistics.
View reading list on Talis Aspire
Mathematical, analytical, problem solving
Analytical, problem solving, investigative skills, communication, good working habits.
| Type | Required | Optional |
|---|---|---|
| Lectures | 30 sessions of 1 hour (26%) | 2 sessions of 1 hour |
| Seminars | 8 sessions of 1 hour (7%) | |
| Tutorials | 5 sessions of 1 hour (4%) | |
| Private study | 53 hours (46%) | |
| Assessment | 18 hours (16%) | |
| Total | 114 hours |
Weekly revision of lecture notes and materials, wider reading and practice exercises, working on problem sets and preparing for examination.
No further costs have been identified for this module.
You do not need to pass all assessment components to pass the module.
Students can register for this module without taking any assessment.
| Weighting | Study time | Eligible for self-certification | |
|---|---|---|---|
| Multiple Choice Quiz 1 | 2% | 3 hours | Yes (waive) |
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A multiple choice quiz which will take place during the term that the module is delivered. |
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| Problem set 1 | 5% | 6 hours | Yes (extension) |
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A problem sheet that include problem solving and calculations. Problem sheets will be set at fortnightly intervals. The problem sheets will contain a number of questions for which solutions and / or written responses will be required. The preparation and completion time noted below refers to the amount of time in hours that a well-prepared student who has attended lectures and carried out an appropriate amount of independent study on the material could expect to spend on this assignment. |
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| Multiple Choice Quiz 2 | 3% | 3 hours | Yes (waive) |
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A multiple choice quiz which will take place during the term that the module is delivered. |
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| Problem set 2 | 5% | 6 hours | Yes (extension) |
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A problem sheet that include problem solving and calculations. Problem sheets will be set at fortnightly intervals. The problem sheets will contain a number of questions for which solutions and / or written responses will be required. The preparation and completion time noted below refers to the amount of time in hours that a well-prepared student who has attended lectures and carried out an appropriate amount of independent study on the material could expect to spend on this assignment. |
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| In-person Examination | 85% | No | |
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The examination paper will contain four questions, of which the best marks of THREE questions will be used to calculate your grade. ~Platforms - Moodle
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| Weighting | Study time | Eligible for self-certification | |
|---|---|---|---|
| In-person Examination - Resit | 100% | No | |
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The examination paper will contain four questions, of which the best marks of THREE questions will be used to calculate your grade.
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Answers to problems sets will be marked and returned to students in a tutorial or seminar taking place the following week when students will have the opportunity to discuss it.
Solutions and cohort level feedback will be provided for the examination.
This module is Core for: