MA2263 PROBABILITY AND STATISTICS SYLLABUS | ANNA UNIVERSITY BTECH CHEMICAL ENGINEERING 4TH SEM SYLLABUS REGULATION 2008 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FOURTH SEMESTER B.TECH CHEMICAL ENGINEERING 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), 2008 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009
MA2263 PROBABILITY AND STATISTICS L T P C
(Common to Biotech, Chemical, Fashion, 3 1 0 4
Petroleum, Polymer, Plastic)
OBJECTIVES
At the end of the course, the students would
1. Acquire skills in handling situations involving more than one random variable and
functions of random variables.
2. Be introduced to the notion of sampling distributions and have acquired
knowledge of statistical techniques useful in making rational decision in
management problems.
3. Be exposed to statistical methods designed to contribute to the process of
making scientific judgments in the face of uncertainty and variation.
UNIT I RANDOM VARIABLES 9 + 3
Discrete and continuous random variables - Properties- Moments - Moment generating
functions and their properties. Binomial, Poisson ,Geometric, Negative binomial,
Uniform, Exponential, Gamma, and Weibull distributions.
UNIT II TWO DIMENSIONAL RANDOM VARIABLES 9 + 3
Joint distributions - Marginal and conditional distributions – Covariance - Correlation and
Regression – function of a random variable-Transformation of random variables -
Central limit theorem.
UNIT III TESTING OF HYPOTHESIS 9 + 3
Sampling distributions – Testing of hypothesis for mean, variance, proportions and
differences using Normal, t, Chi-square and F distributions - Tests for independence of
attributes and Goodness of fit.
UNIT IV DESIGN OF EXPERIMENTS 9 + 3
Analysis of variance – One way classification – CRD - Two – way classification – RBD -
Latin square.
UNIT V RELIABILTY AND QUALITY CONTROL 9 + 3
Concepts of reliability-hazard functions-Reliability of series and parallel systems- control
charts for measurements (x and R charts) – control charts for attributes (p, c and np
charts)
Note : Use of approved statistical table is permitted in the examination.
TOTAL : 60 PERIODS
TEXT BOOKS
1. J. S. Milton and J.C. Arnold, “ Introduction to Probability and Statistics”, Tata
McGraw Hill, 4th edition, 2007. (For units 1 and 2)
2. R.A. Johnson and C.B. Gupta, “Miller and Freund’s Probability and Statistics for
Engineers”, Pearson Education, Asia, 7th edition, (2007)
REFERENCES
1. Walpole, R. E., Myers, R. H. Myers R. S. L. and Ye. K, “Probability and Statistics for
Engineers and Scientists”, Seventh Edition, Pearsons Education, Delhi, 2002.
2. Navidi, W, “Statistics for Engineers and Scientists”, Special Indian Edition, Tata
McGraw-Hill Publishing Company Ltd, New Delhi,2008.
3. Spiegel, M.R, Schiller, J and Alu Srinivasan, R, “Schaum’s Outlines Probability and
Statistics”, Tata McGraw-Hill Publishing Company Ltd. New Delhi ,2007.
MA2263 PROBABILITY AND STATISTICS L T P C
(Common to Biotech, Chemical, Fashion, 3 1 0 4
Petroleum, Polymer, Plastic)
OBJECTIVES
At the end of the course, the students would
1. Acquire skills in handling situations involving more than one random variable and
functions of random variables.
2. Be introduced to the notion of sampling distributions and have acquired
knowledge of statistical techniques useful in making rational decision in
management problems.
3. Be exposed to statistical methods designed to contribute to the process of
making scientific judgments in the face of uncertainty and variation.
UNIT I RANDOM VARIABLES 9 + 3
Discrete and continuous random variables - Properties- Moments - Moment generating
functions and their properties. Binomial, Poisson ,Geometric, Negative binomial,
Uniform, Exponential, Gamma, and Weibull distributions.
UNIT II TWO DIMENSIONAL RANDOM VARIABLES 9 + 3
Joint distributions - Marginal and conditional distributions – Covariance - Correlation and
Regression – function of a random variable-Transformation of random variables -
Central limit theorem.
UNIT III TESTING OF HYPOTHESIS 9 + 3
Sampling distributions – Testing of hypothesis for mean, variance, proportions and
differences using Normal, t, Chi-square and F distributions - Tests for independence of
attributes and Goodness of fit.
UNIT IV DESIGN OF EXPERIMENTS 9 + 3
Analysis of variance – One way classification – CRD - Two – way classification – RBD -
Latin square.
UNIT V RELIABILTY AND QUALITY CONTROL 9 + 3
Concepts of reliability-hazard functions-Reliability of series and parallel systems- control
charts for measurements (x and R charts) – control charts for attributes (p, c and np
charts)
Note : Use of approved statistical table is permitted in the examination.
TOTAL : 60 PERIODS
TEXT BOOKS
1. J. S. Milton and J.C. Arnold, “ Introduction to Probability and Statistics”, Tata
McGraw Hill, 4th edition, 2007. (For units 1 and 2)
2. R.A. Johnson and C.B. Gupta, “Miller and Freund’s Probability and Statistics for
Engineers”, Pearson Education, Asia, 7th edition, (2007)
REFERENCES
1. Walpole, R. E., Myers, R. H. Myers R. S. L. and Ye. K, “Probability and Statistics for
Engineers and Scientists”, Seventh Edition, Pearsons Education, Delhi, 2002.
2. Navidi, W, “Statistics for Engineers and Scientists”, Special Indian Edition, Tata
McGraw-Hill Publishing Company Ltd, New Delhi,2008.
3. Spiegel, M.R, Schiller, J and Alu Srinivasan, R, “Schaum’s Outlines Probability and
Statistics”, Tata McGraw-Hill Publishing Company Ltd. New Delhi ,2007.
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