Courses Catalogue

Probability And Statistics

COURSE CODE: COS 2103
COURSE CREDIT UNIT: 3
ACADEMIC PROGRAMME: Computer Science, B.Sc
COLLEGE/SCHOOL/FACULTY: School of Mathematics and Computing
STATUS: Core
PROGRAMME TYPE: Undergraduate

Course Content and Outline

Detailed Course Description

  • Introduction to Probability  8hrs

Sample Space

Probability of an event

Conditional probability

The multiplicative rule

Bayes Theorem

  • Probability distributions 8hrs

The probability distribution of discrete and continuous random variables

Cumulative distribution functions

Mean, mode and variance of probability distributions.

Common discrete distributions: Uniform, Binomial, Geometric, Poisson.

Common continuous distributions: Uniform, exponential, normal.

  • Bivariate distributions 8hrs

Joint probability distributions

Joint cumulative distributions

Marginal probability distributions

Conditional distributions

Conditional expectations

Independent random variables

Covariance and correlation

Product moments.

  • Parameter estimation 8hrs

Method of moments

Maximum likelihood estimation

Point estimation

Confidence intervals

  • Hypothesis testing 6hrs

The use of p-values in hypothesis testing

One-sample, two-sample and paired-sample t-test

Sample size determination

Goodness of fit tests

  • Contemporary statistical packages and applications 7hrs

 

Mode of delivery

Lectures, Case studies, Peer discussions, Role plays, Demonstrations