Probability and Statistics 1
| Code | School | Level | Credits | Semesters |
| MATH1106 | Mathematical Sciences | 1 | 20 | Full Year Malaysia |
- Code
- MATH1106
- School
- Mathematical Sciences
- Level
- 1
- Credits
- 20
- Semesters
- Full Year Malaysia
Summary
This is a year-long module that introduces students to the mathematics of uncertainty. The module will introduce students to the basic concepts of probability and statistics in a unified manner.
Target Students
Single Honours and Joint Honours students from the School of Mathematical Sciences.
Co-requisites
Modules you must take in the same academic year, or have taken in a previous year, to enrol in this module:
Classes
- Three 1-hour workshops each week for 11 weeks
- Six 1-hour workshops each week for 6 weeks
- Four 1-hour workshops each week for 5 weeks
Assessment
- 40% Coursework: Summative assessment based on tasks distributed through the year.
- 40% Exam (2-hour)
- 20% Test (1-hour): Written Exam - Autumn
Educational Aims
The overall aims are to give students an introduction to probability, probabilistic reasoning, statistics and statistical thinking. This provides students with a good foundation for studying more advanced topics in probability and statistics.Learning Outcomes
A student who completes this module successfully should be able to:
L1 State and apply the basic laws and theorems of probability and statistics that underpin modern applications;
L2 Derive point and interval estimators and state and apply the Central Limit Theorem;
L3 Draw connections between probability and statistics;
L4 Conduct appropriate hypothesis tests for a variety of contexts, including calculating distributions of test statistics, p-values and power;
L5 Calculate probabilities, moments and other quantities of interest using mass, density, probability generating functions and joint & conditional mass functions;
L6 Make effective use of statistical software to carry out calculations and interpret the output;
L7 Present hypotheses, methods, results and conclusions verbally or in writing using structured and mathematically rigorous arguments and in a suitable format such as a statistical report.