Objectives:
This course is designed to introduce the basic concepts of probability and statistics. Its aim is the understanding of the nature, scope and theoretical basis of probability.
Learning Outcomes:
This unit introduces students to concepts that are important in probability, including the probability function. All the ideas are important as a base for future learning in this area.
Recommended Books
Chaudhry, S. M and Kamal. S. (1980). Introduction to statistical theory. Part-I. IlmiKithabKhana.
Walpole, R.E., Myers, R.H and Myers, S.L. (1998), “Probability and Statistics for Engineers and Scientist” 6th edition, Prentice Hall, NY
Week |
Topics and Readings |
Books |
1. |
Concept of probability with the help of real life examples. |
Introduction to Statistical Theory Part I |
2. |
Laws of Probability |
Introduction to Statistical Theory Part I |
3. |
Concept of random variable |
Introduction to Statistical Theory Part I |
4. |
Concept of Continuous Random Variable and Density Function
|
Introduction to Statistical Theory Part I |
5. |
Mean and Variance of Discrete Probability Distribution |
Introduction to Statistical Theory Part I |
6. |
Concept of Bernoulli Trial and its Properties & Introduction of Binomial Probability Distribution |
Introduction to Statistical Theory Part I |
7. |
Moments of Binomial Distribution and Practice Questions |
Introduction to Statistical Theory Part I
|
8. |
. Concept of Hypergeometric distribution and its Mean & Variance
|
Introduction to Statistical Theory Part I |
9. |
Mid term |
Introduction to Statistical Theory Part I |
10. |
Concept of Poisson Distribution and its derivation |
Introduction to Statistical Theory Part I |
11. |
Practice Question of Poisson Distribution |
Introduction to Statistical Theory Part I |
12. |
Concept of Negative Binomial Distribution
|
Introduction to Statistical Theory Part I |
13. |
Concept of Geometric Distribution and its problems |
Introduction to Statistical Theory Part I |
14. |
Concept of Normal Distribution |
Introduction to Statistical Theory Part I, |
15. |
Derivations of properties of Normal Distribution |
Introduction to Statistical Theory Part I |
16. |
Normal Approximation to Binomial and Poisson Distribution
|
Introduction to Statistical Theory Part I, |
17 |
Revision |
|
18 |
Final Exams |
|
Assessment Criteria:
Exam:Mid(30%),Final(50%),
Sessional(20%):Assignment,Presentations,Class Participation,Quizzes
Time Table: BS Regualr
Wedenesday(9:00 AM to 10:00 AM)
Thursday(10:00 A.M to 11:00 AM)
Friday (08:00 A.M to 09:00 A.M)
BS-Self
Tuesday(02:00 PM to 03:00 PM),
Wednesday( 12:30 PM to 01:30 PM)
Friday (04:00 PM to 05:00 PM)