PROBABILITY AND RANDOM VARIABLE
Probability – Axioms of probability – Conditional probability – Baye‘s theorem – Discrete and continuous random variables – Moments – Moment generating functions – Binomial, Poisson, Geometric, Uniform, Exponential and Normal distributions.
TWO DIMENSIONAL RANDOM VARIABLES
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).
Sampling distributions – Statistical hypothesis – Tests for single mean, proportion, Difference of means (large and small samples) – Tests for single variance and equality of variances – Chi square test for goodness of fit-Independence of attributes.
Completely randomized design – Randomized block design – Latin square design-22 factorial design
STATISTICAL QUALITY CONTROL
Control charts for measurements (X and R charts) – Control charts for attributes (p, c and np charts) – Tolerance limits – Acceptance sampling.
Reference Book:
1. Spiegel. M.R,Schiller. J and Srinivasan.R.A, “Schaum’s Outline of Theory and Problems of Probability and Statistics", Tata McGraw Hill - Edition, 2017. (UNIT-I, II, III, IV, V)
2. Johnson. R.A, Miller. I and Freund. J, “Miller and Freund’s Probability and Statistics for Engineers”, Pearson Education, Asia, 8th Edition, 2015. (UNIT-I, II, III, IV, V)
3. Ross. S.M, “Introduction to Probability and Statistics for Engineers and Scientists”, 5rd Edition, Elsevier, 2014. (UNIT-I, II, III, IV, V)
4. Devore. J.L, “Probability and Statistics for Engineering and the Sciences”, Cengage Learning, New Delhi, 8th Edition, 2014.
5. Allen. A.O, “Probability, Statistics and Queueing Theory with Computer Applications”, Elsevier, 2nd edition, 2011(UNIT-I, II, III).
Text Book:
1. Oliver C. Ibe , “Fundamentals of Applied Probability and Random Processes”, Elsevier, 1st Indian Reprint, 2016 (UNIT-I, II, III).
2. Papoulis. A and Unnikrishnapillai. S, “Probability, Random Variables and Stochastic Processes” McGraw Hill Education India, 4th Edition, New Delhi, 2010. (UNIT-I, II, III, IV, V).
