Module manager: Dr Robert Aykroyd
Email: R.G.Aykroyd@leeds.ac.uk
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2014/15
A-Level Mathematics, or equivalent.
| LUBS1240 | Maths&Stats For Bus&Ec 1 |
This module is approved as a discovery module
'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 the binomial, Poisson, exponential and normal distributions.
On completion of this module, students should be able to:
(a) state and use the basic rules of probability
(b) understand discrete probability models such as the binomial, Poisson and geometric
(c) apply probability generating functions and expectation rules
(d) interpret and manipulate the distributions of continuous random variables such as the normal
(e) use a statistical package such as 'R' as an aid to understanding basic concepts.
1. Introduction to probability, axioms, joint events and probability rules.
2. Conditional probability, Bayes' formula, independence.
3. Permutations and combinations.
4. Discrete random variables, mean and variance, linear properties of expectation.
5. Bernoulli trials, binomial distribution.
6. Poisson distribution. Geometric distribution.
7. Joint distribution of two discrete random variables, marginal distributions and independence.
8. Mean and variance of a linear function of two random variables. Covariance.
9. Probability generating functions.
10. Continuous random variables. Cumulative distribution function. Probability density function.
11. Mean and variance of a continuous random variable. Uniform distribution. Exponential distribution.
12. Functions of continuous random variables.
13. Normal distribution and use of tables. Normal approximation to the binomial.
| Delivery type | Number | Length hours | Student hours |
|---|---|---|---|
| Lecture | Delivery type 22 | Number 1 | Length hours 22 |
| Practical | Delivery type 2 | Number 1 | Length hours 2 |
| Tutorial | Delivery type 5 | Number 1 | Length hours 5 |
| Private study hours | Delivery type 71 | ||
| Total Contact hours | Delivery type 29 | ||
| Total hours (100hr per 10 credits) | Delivery type 100 | ||
Studying and revising of course material.
Completing of assignments and assessments.
Regular problem solving assignments
!!! In order to pass the module, students must pass the examination. !!!
| Assessment type | Notes | % of formal assessment |
|---|---|---|
| Assessment type In-course Assessment | Notes . | % of formal assessment 20 |
| Total percentage (Assessment Coursework) | Assessment type 20 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
| Exam type | Exam duration | % of formal assessment |
|---|---|---|
| Exam type Standard exam (closed essays, MCQs etc) | Exam duration 2.0 Hrs 0 Mins | % of formal assessment 80 |
| Total percentage (Assessment Exams) | Exam type 80 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
The reading list is available from the Library website
Last updated: 02/02/2015
Errors, omissions, failed links etc should be notified to the Catalogue Team