Statistics 1Y: Probability And Statistical Methods STATS1002

  • Academic Session: 2018-19
  • School: School of Mathematics and Statistics
  • Credits: 20
  • Level: Level 1 (SCQF level 7)
  • Typically Offered: Semester 1
  • Available to Visiting Students: Yes

Short Description

To teach students basic concepts in probability and statistical inference, and to demonstrate their importance and practical usefulness in real life.


Lectures: Monday, Tuesday, Wednesday and Thursday at 1.00 pm.

Computer labs: 4 two hour practicals, at times to be arranged.

Tutorials: Weekly for one hour at times to be arranged.

Requirements of Entry

Pass in SCE Higher Mathematics (or equivalent)

Excluded Courses

STATS1010 Statistics 1A: Applied Statistics


Written examination (one two-hour paper) - 80%

Continuous assessment - 20%


Reassessment opportunities are not available for the continuous assessment

Main Assessment In: December

Are reassessment opportunities available for all summative assessments? No

Reassessments are normally available for all courses, except those which contribute to the Honours classification. For non Honours courses, students are offered reassessment in all or any of the components of assessment if the satisfactory (threshold) grade for the overall course is not achieved at the first attempt. This is normally grade D3 for undergraduate students and grade C3 for postgraduate students. Exceptionally it may not be possible to offer reassessment of some coursework items, in which case the mark achieved at the first attempt will be counted towards the final course grade. Any such exceptions for this course are described below. 

Course Aims

The course aims to:


introduce students to basic concepts in probability;

demonstrate the importance and practical usefulness of probability in real life;

equip students to apply probability theory to solve problems from a wide range of disciplines;

show how to present data informatively and clearly;

introduce students to fundamental ideas in Statistics including confidence intervals and hypothesis tests;

give students an appreciation of the limitations of these standard techniques;

promote an interest in probability and statistics and hence encourage students to study the subject further.

Intended Learning Outcomes of Course

By the end of this course students will be able to:


explain the key concept of natural variation;

define the terms sample space, event, relative frequency, probability, conditional probability, independence, random variable, probability distribution, probability density function, expected value and variance;

describe some standard discrete and continuous probability distributions;

use standard statistical tables for the Normal distribution;

define the terms population and sample, parameter and estimate;

differentiate between common types of data, and display them appropriately;

state desirable properties of point estimators;

recognise the benefits of calculating interval estimates for unknown parameters, and be able to interpret interval estimates correctly;

conduct hypothesis tests and interpret the results of the test;

check the assumptions underlying these simple procedures, and recognise how a breakdown in these assumptions affects the usefulness of their answers.

Minimum Requirement for Award of Credits

(i) attendance at the Degree(or resit) Examination;