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)

 

Course Material