## MA6468 - PROBABILITY AND STATISTICS (Syllabus) 2013-regulation Anna University

MA6468

PROBABILITY AND STATISTICS

LPTC

3003

OBJECTIVES:
• This course aims at providing the required skill to apply the statistical tools in engineering problems.

UNIT I

RANDOM VARIABLES

9+3

Discrete and continuous random variables – Moments – Moment generating functions – Binomial, Poisson, Geometric, Uniform, Exponential, Gamma and Normal distributions.

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 - Estimation of parameters - Statistical hypothesis - Large sample test based on Normal distribution for single mean and difference of means -Tests based on t, Chi- square and F distributions for mean, variance and proportion - Contingency table (test for independent) - Goodness of fit.

UNIT IV

DESIGN OF EXPERIMENTS

9+3

One way and Two way classifications - 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.

TOTAL (L:45+T:15): 60 PERIODS

OUTCOMES:
• 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 engineering and management problems.

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.
3. Papoulis. A and Unnikrishnapillai. S., "Probability, Random Variables and Stochastic Processes " McGraw Hill Education India , 4th Edition, New Delhi , 2010.

REFERENCES:
1. Devore. J.L., "Probability and Statistics for Engineering and the Sciences”, Cengage Learning, New Delhi, 8th Edition, 2012. 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.