### Introduction to probability distribution(STAT-5102)

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

## 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)