MA3211 PROBABILITY AND STATISTICS SYLLABUS | ANNA UNIVERSITY BE ENVIRONMENTAL ENGINEERING 4TH SEM SYLLABUS REGULATION 2008 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FOURTH SEMESTER BE ENVIRONMENTAL ENGINEERING DEPARTMENT SYLLABUS, TEXTBOOKS, REFERENCE BOOKS,EXAM PORTIONS,QUESTION BANK,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
MA3211 PROBABILITY AND STATISTICS LT P C
3 1 0 4
AIM:
This course aims at providing the required skill to apply the statistical tools in
engineering problems.
OBJECTIVES:
The students will have a fundamental knowledge of the concepts of probability.
Have knowledge of standard distributions which can describe real life phenomenon.
Have the notion of sampling distributions and statistical techniques used in
management problems.
UNIT I RANDOM VARIABLES 9 + 3
Discrete and Continuous random variables – Moments – Moment generating functions –
Binomial, Poisson, Geometric, Uniform, Exponential, Gamma, Weibull and Normal
distributions - Functions of a random variable.
UNIT II TWO-DIMENSIONAL RANDOM VARIABLES 9 + 3
Joint distributions – Marginal and Conditional distributions – Covariance – Correlation
and Linear regression – Transformation of random variables – Central limit theorem (for
independent and identically distributed random variables).
UNIT III TESTING OF HYPOTHESIS 9 + 3
Sampling distributions - Tests for single mean, proportion, Difference of means (large
and small samples) – Tests for single variance and equality of variances – χ2-test for
goodness of fit – Independence of attributes – Non-parametric tests: Test for
Randomness and Rank-sum test (Wilcoxon test).
UNIT IV DESIGN OF EXPERIMENTS 9 + 3
Completely randomized design – Randomized block design – Latin square design - 22 -
factorial design.
UNIT V STATISTICAL QUALITY CONTROL 9 + 3
Control charts for measurements (X and R charts) – Control charts for attributes (p, c
and np charts) – Tolerance limits - Acceptance sampling.
T : 45 + 15 ,TOTAL : 60 PERIODS
TEXT BOOKS
1. Milton, J. S. and Arnold, J.C., “Introduction to Probability and Statistics”, Tata
McGraw Hill, 4th edition, (2007).
2. Johnson, R.A. and Gupta, C.B., “Miller and Freund’s Probability and Statistics for
Engineers”, Pearson Education, Asia, 7th edition, (2007).
REFERENCES
1. Devore, J.L., “Probability and Statistics for Engineering and the Sciences”, Thomson
Brooks/Cole, International Student Edition, 7th edition, (2008).
2. Walpole, R.E., Myers, R.H., Myers, S.L. and Ye, K., “Probability and Statistics for
Engineers and Scientists”, Pearson Education, Asia , 8th edition, (2007).
3. Ross, S.M., “Introduction to Probability and Statistics for Engineers and Scientists,
3rd edition, Elsevier, (2004).
4. Spiegel, M.R., Schiller, J. and Srinivasan, R.A., “Schaum’s Outline of Theory and
Problems of Probability and Statistics”, Tata McGraw Hill edition, (2004).
MA3211 PROBABILITY AND STATISTICS LT P C
3 1 0 4
AIM:
This course aims at providing the required skill to apply the statistical tools in
engineering problems.
OBJECTIVES:
The students will have a fundamental knowledge of the concepts of probability.
Have knowledge of standard distributions which can describe real life phenomenon.
Have the notion of sampling distributions and statistical techniques used in
management problems.
UNIT I RANDOM VARIABLES 9 + 3
Discrete and Continuous random variables – Moments – Moment generating functions –
Binomial, Poisson, Geometric, Uniform, Exponential, Gamma, Weibull and Normal
distributions - Functions of a random variable.
UNIT II TWO-DIMENSIONAL RANDOM VARIABLES 9 + 3
Joint distributions – Marginal and Conditional distributions – Covariance – Correlation
and Linear regression – Transformation of random variables – Central limit theorem (for
independent and identically distributed random variables).
UNIT III TESTING OF HYPOTHESIS 9 + 3
Sampling distributions - Tests for single mean, proportion, Difference of means (large
and small samples) – Tests for single variance and equality of variances – χ2-test for
goodness of fit – Independence of attributes – Non-parametric tests: Test for
Randomness and Rank-sum test (Wilcoxon test).
UNIT IV DESIGN OF EXPERIMENTS 9 + 3
Completely randomized design – Randomized block design – Latin square design - 22 -
factorial design.
UNIT V STATISTICAL QUALITY CONTROL 9 + 3
Control charts for measurements (X and R charts) – Control charts for attributes (p, c
and np charts) – Tolerance limits - Acceptance sampling.
T : 45 + 15 ,TOTAL : 60 PERIODS
TEXT BOOKS
1. Milton, J. S. and Arnold, J.C., “Introduction to Probability and Statistics”, Tata
McGraw Hill, 4th edition, (2007).
2. Johnson, R.A. and Gupta, C.B., “Miller and Freund’s Probability and Statistics for
Engineers”, Pearson Education, Asia, 7th edition, (2007).
REFERENCES
1. Devore, J.L., “Probability and Statistics for Engineering and the Sciences”, Thomson
Brooks/Cole, International Student Edition, 7th edition, (2008).
2. Walpole, R.E., Myers, R.H., Myers, S.L. and Ye, K., “Probability and Statistics for
Engineers and Scientists”, Pearson Education, Asia , 8th edition, (2007).
3. Ross, S.M., “Introduction to Probability and Statistics for Engineers and Scientists,
3rd edition, Elsevier, (2004).
4. Spiegel, M.R., Schiller, J. and Srinivasan, R.A., “Schaum’s Outline of Theory and
Problems of Probability and Statistics”, Tata McGraw Hill edition, (2004).
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