### PROBABILITY AND PROBABILITY DISTRIBUTIONS-II(STAT-6206)

Objective:

The aim of this course is to produce the students, the knowledge about Probability and Probability Distribution so that they can utilize it in their future life.

The Objective is to impart the basic techniques of Probability and their application in different fields of life.

Learning Outcomes:

The goal is to help the students to develop a skills to solve different probability distributions, there pdf , mgf, cdf and other properties.

Recommended Books

1. Stirzaker, D. (1999). “Probability and Random Variables”. Cambridge University Press, Cambridge.

2. Stuart, A. and Ord, J .K. Kendall’s (1998), “Advanced Theory of

Statistics”, Vol. I, Charles Griffin, London.

3.Fridett, B. & Gray, L. (1997). “A Modern Approach to Probability Theory”Birkhallser, Boston.

4. Freund, J. E. (1997). “Mathematical Statistics”, Prentice Hall, New Jersey.

5. Mood, A.M, Graybill, F.A. and Boss, D.C. (1997), “Introduction to the Theory of Statistics”, McGraw Hill, New York.25

6. Hogg, R.M. and Craig, A.T. (1995), “Introduction to Mathematical Statistics”. Prentice Hall, Engle wood Cliffs, New Jersey.

7. Ronald E. Walpole,Raymond H. Myers,Sharon L. Myers and Keying Ye "Probability & Statistics for Engineers & Scientists"  9th E D I T I O N

Course Plan:

Weeks

## Books  and Pages

1.

Concept of Continuous Random variable and Uniform Distribution

Introduction to the Theory of Statistics

(105-106)

2.

Normal Distrbution and its properties

Introduction to the Theory of Statistics

(106-107)

3.

Exponential Distribution Distribution and  its properties

Introduction to the Theory of Statistics

(107-111)

4.

Gamma Distribution and its properties

Introduction to the Theory of Statistics

(111-114)

5.

Beta Distribution and its properties

Introduction to the Theory of Statistics

(115-116)

6.

Cauchy Distribution and its properties

Introduction to the Theory of Statistics

(117-119)

7.

Laplace Distribution and its properties

Introduction to the Theory of Statistics

(117-119)

8.

Chi Square distribution and derive its properties

Introduction to the Theory of Statistics

(241-245)

9.

Mid term

10.

F distribution, its derivations and properties

Introduction to the Theory of Statistics

(246-249)

11.

t distribution, its derivations and properties

Introduction to the Theory of Statistics

(249-251)

12

Weibell Distribution and its properties

Probability & Statistics for Engineers & Scientists

(203-205)

13.

Order statistics

Introduction to the Theory of Statistics

(162-167)

14.

Distributions of rth and sth order statistics

Introduction to the Theory of Statistics

(162-167)

15.

Central limit and Chebyshev's theorems and application

Introduction to the Theory of Statistics

(71-72)

16.

Bivariate Normal distribution

Introduction to the Theory of Statistics

(167-169)

17.

Revision of selected Contents

18.

Final Exam

Assessment Criteria:

Exam:Mid(30%),Final(50%),

Sessional(20%):Assignment,Presentations,Class Participation,Quizzes

Time Table: Msc

Tuesday(9:00 AM to 10:00 AM)

Wednesday(08:00 A.M to 09:00 AM)

Thursday (08:00 A.M to 09:00 A.M)