## Friday, October 19, 2012

### MA9220 PROBABILITY AND STATISTICAL METHODS SYLLABUS | ANNA UNIVERSITY ME COMPUTER INTEGRATED MANUFACTURING 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013

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MA9220 PROBABILITY AND STATISTICAL METHODS SYLLABUS | ANNA UNIVERSITY ME COMPUTER INTEGRATED MANUFACTURING 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FIRST SEMESTER ME COMPUTER INTEGRATED MANUFACTURING DEPARTMENT SYLLABUS, TEXTBOOKS, REFERENCE BOOKS,EXAM PORTIONS,QUESTION BANK,PREVIOUS YEAR QUESTION PAPERS,MODEL QUESTION PAPERS, CLASS NOTES, IMPORTANT 2 MARKS, 8 MARKS, 16 MARKS TOPICS. IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011 2012-2013 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI,TIRUNELVELI,COIMBATORE), 2009 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009

MA9220 PROBABILITY AND STATISTICAL METHODS L T P C
3 1 0 4
AIM: The course aims at providing knowledge for the basic concepts of Probability
and Statistics and the techniques for solving mathematical problems for probability
analysis which will be useful in solving some Engineering problems.
OBJECTIVES:
 To introduce the basic concepts of one dimensional and two dimensional
Random Variables.
 To provide information about Estimation theory, Correlation, Regression and
Testing of hypothesis.
 To enable the students to use the concepts of multivariate normal distribution and
principle components analysis.
UNIT I ONE DIMENSIONAL RANDOM VARIABLES: 9
Random variables - Probability function – Moments – Moment generating functions
and their properties – Binomial, Poisson, Geometric, Uniform, Exponential, Gamma
and Normal distributions – Functions of a Random Variable.
UNIT II TWO DIMENSIONAL RANDOM VARIABLES: 9
Joint distributions – Marginal and Conditional distributions – Functions of two
dimensional random variables – Regression Curve – Correlation.
UNIT III ESTIMATION THEORY: 9
Unbiased Estimators – Method of Moments – Maximum Likelihood Estimation -
Curve fitting by Principle of least squares – Regression Lines.
UNIT IV TESTING OF HYPOTHESES: 9
Sampling distributions - Type I and Type II errors - Tests based on Normal, t, 2 and
F distributions for testing of mean, variance and proportions – Tests for
Independence of attributes and Goodness of fit.
UNIT V MULTIVARIATE ANALYSIS: 9
Covariance matrix – Correlation Matrix – Multivariate Normal density function –
Principal components – Sample variation by principal components – Principal
components by graphing
TOTAL : 60 PERIODS
BOOKS FOR REFERENCE:
1. Richard Johnson. ”Miller & Freund’s Probability and Statistics for Engineer
Prentice – Hall of India, Private Ltd., New Delhi, 7th Edition, 2007.
2. Richard A. Johnson and Dean W. Wichern, “Applied Multivariate Statistical
Analysis”, Pearson Education, Asia, 5th Edition, 2002.
3. Gupta, S.C. and Kapoor, V.K.”Fundamentals of Mathematical statistical”,
sultanan Sons, New Delhi, 2001.
4. Jay L. Devore, “Probability and statistics for Engineering and the Sciences”,
Thomson and Duxbbury, Singapore, 2002.
5. Dallas E Johnson et al., “Applied multivariate methods for data analysis”,
Thomson and Duxbbury press, Singapore, 1998.