2018/19 Undergraduate Module Catalogue

MATH1710 Probability and Statistics I

10 Credits Class 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.

Mutually Exclusive

LUBS1240 Maths&Stats For Bus&Ec 1

Module replaces

MATH1715

This 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 22
Tutorial 5 1 5
Independent online learning hours 10
Private study hours 63
Total Contact hours 27
Total hours (100hr per 10 credits) 100

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
Total percentage (Assessment Coursework) 20

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) 2.0 Hrs Mins 80
Total percentage (Assessment Exams) 80

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 website

Last updated: 8/13/2018

Errors, omissions, failed links etc should be notified to the Catalogue Team