2018/19 Undergraduate Module Catalogue
MATH1710 Probability and Statistics I
10 creditsClass Size: 475
Module manager: Dr Robert Aykroyd
Email: R.G.Aykroyd@leeds.ac.uk
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2018/19
Pre-requisite qualifications
A-level Mathematics, or equivalent.This module is mutually exclusive with
LUBS1240 | Maths&Stats For Bus&Ec 1 |
Module replaces
MATH1715This module is approved as a discovery module
Module summary
'Probability is basically common sense reduced to calculation; it makes us appreciate with exactitude what reasonable minds feel by a sort of instinct.' So said Laplace. In the modern scientific and technological world it is even more important to understand probabilistic arguments. The key ideas of probability and random variables are discussed, including concepts of prior and posterior distributions.Objectives
On completion of this module, students should be able to:(a) carry out exploratory data analysis, using a statistical package
(b) state and use the basic rules of probability
(c) understand discrete and continuous probability models
(d) understand the notions of prior and posterior probability
Syllabus
1. Exploratory Data Analysis: numerical and graphical summaries.
2. Introduction to probability axioms, and probability rules.
3. Joint and conditional probability, independence and Bayes' formula.
4. Discrete random variables, Bernoulli trials, binomial distribution.
5. Continuous random variables. Uniform, exponential and normal distributions.
6. Models for data, and parameters.
7. Expectation and Variance.
8. Likelihood.
9. Prior and Posterior Distributions.
Teaching methods
Delivery type | Number | Length hours | Student hours |
Lecture | 22 | 1.00 | 22.00 |
Tutorial | 5 | 1.00 | 5.00 |
Independent online learning hours | 10.00 | ||
Private study hours | 63.00 | ||
Total Contact hours | 27.00 | ||
Total hours (100hr per 10 credits) | 100.00 |
Private study
This will include tutorial exercise sheets, lecture preparation, studying course material, using R for data analysis, revision for exams, preparing for tutorials.Opportunities for Formative Feedback
Fortnightly tutorials and homework sheets.!!! In order to pass the module, students must pass the examination. !!!
Methods of assessment
Coursework
Assessment type | Notes | % of formal assessment |
In-course Assessment | . | 20.00 |
Total percentage (Assessment Coursework) | 20.00 |
There is no resit available for the coursework component of this module. If the module is failed, the coursework mark will be carried forward and added to the resit exam mark with the same weighting as listed above.
Exams
Exam type | Exam duration | % of formal assessment |
Standard exam (closed essays, MCQs etc) | 2 hr | 80.00 |
Total percentage (Assessment Exams) | 80.00 |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Reading list
The reading list is available from the Library websiteLast updated: 13/08/2018
Browse Other Catalogues
- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue
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