Probability and Statistics

Home/ Probability and Statistics
Course TypeCourse CodeNo. Of Credits
Foundation ElectiveSUS1MA5074

Semester and Year Offered: Winter Semester 

Course Coordinator and Team: TBA

Email of course coordinator:

Pre-requisites: Mathematics at the XII grade level.

Aim:The aim of the course is to introduce students to foundations of probability and statistics. The course begins with familiar concepts of classical probability (XII grade level) and then moves on to an axiomatic setting. The emphasis while studying probability as well as random variables will be to do just enough theory to be able to understand connections with real life problems. The distributions will also form a basis for setting up the statistical tests. Sampling, sampling distribution, large sample tests and exact sample tests will be studied. There will be about 12-16 hours of Lab Work using spread-sheet programmes for performing data analysis based on distributions as well as statistical tests.

Main Modules:

  1. Basic probability
  2. Random variables, Discrete and Continuous Random Variables, Empirical Distributions
  3. Sampling distributions and Hypothesis testing
  4. Regression and Correlation


Class Test10%Second week of February
Mid Semester Test25%As per AUD timetable
Presentation/Viva15%First week of April
End Semester Test35%As per AUD timetable
Tutorial Assessment15%Throughout the semester

Main Reference:

  1. Sheldon Ross, A First Course in Probability, Academic Books, 2002.
  2. Irwin Miller and Marylees Miller, Mathematical Statistics with Applications, 7th Edition, Pearson.
  3. Larsen and Farber, Elementary Statistics, 4th or 5th Edition, Prentice Hall Inc, 2011.
  4. Grimmet and Welsh, Probability: An Introduction, Oxford Science Publication, 1986.