## MATH0365 Foundation Probability and Statistics

### 10 creditsClass Size: 71

Module manager: Dr Margit Messmer
Email: M.Messmer@leeds.ac.uk

Taught: Semester 2 (Jan to Jun) View Timetable

Year running 2021/22

### Pre-requisite qualifications

GCSE Mathematics or equivalent. This module is not available to students who have a Maths A-level (or equivalent)

### This module is mutually exclusive with

 LUBS1260 Mathematics for Economics and Business 1 LUBS1270 Statistics for Economics and Business 1 LUBS1280 Mathematical Economics

This module is not approved as a discovery module

### Module summary

This module covers basic concepts in statistics and probability which have applications in Business and Economics.

### Objectives

On completion of this module, students should be able to:

(a) process data to produce histograms etc and determine means, medians and standard deviation for discrete, continuous, grouped, ungrouped data;
(b) calculate probabilities, in particular in connection with the binomial distribution;
(c) use the standard normal curve (i) to approximate to binomial probabilities and (ii) to obtain confidence intervals.

### Syllabus

- Data summary: Histograms
- Stem-and-leaf diagrams
- Box plots
- Measures of location
- Measures of dispersion
- Probability: Sample space
- Exclusive and complementary events
- Conditional probability
- Independent events
- Discrete random variables: Probability function and cumulative distribution function
- Expectation and variance
- Binomial and Poisson distributions
- Normal distribution: Reduction to standard form
- Use of tables.

### Teaching methods

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

 Delivery type Number Length hours Student hours Lecture 33 1.00 33.00 Private study hours 67.00 Total Contact hours 33.00 Total hours (100hr per 10 credits) 100.00

### Private study

Studying and revising of course material.
Completing of assignments and assessments.

Example classes will be covered in the lectures.

### Opportunities for Formative Feedback

Regular problem solving assignments

!!! In order to pass the module, students must pass the examination. !!!

### Methods of assessment

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

Coursework
 Assessment type Notes % of formal assessment In-course Assessment . 15.00 Total percentage (Assessment Coursework) 15.00

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 Open Book exam 2 hr 00 mins 85.00 Total percentage (Assessment Exams) 85.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated