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.
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
Control charts for measurements (X and R charts) – Control charts for attributes (p, c and np charts) – Tolerance limits – Acceptance sampling.
Reference Book:
1.Allen, A.O., “Probability, Statistics and Queueing Theory with Computer Applications”, Elsevier, 2nd edition, 2011(UNIT-I, II, III). 2. Trivedi, K.S., “Probability and Statistics with Reliability, Queuing and Computer Science Applications”, PHI Learning Private limited , New Delhi ,2011. (UNIT-I, II,III). 3. Ross, S.M., “Introduction to Probability and Statistics for Engineers and Scientists”, 5rd Edition, Elsevier, 2014. (UNIT-I, II, III, IV ,V) 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, 2017. (UNIT-I, II, III, IV ,V) 5.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) 6. Devore. J.L., “Probability and Statistics for Engineering and the Sciences”, Cengage Learning, New Delhi, 8th Edition, 2014.
Text Book:
1.Ibe, O.C., “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).
