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	Topics and Readings	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