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:
Allen, A.O., “Probability, Statistics and Queueing Theory with Computer Applications”, Elsevier, 2nd edition, 2011. Douglas C. Montgomery and George C. Runger, Applied Statistics and Probability for Engineers, Wiley India, Delhi, 2012. Ross, S.M., “Introduction to Probability and Statistics for Engineers and Scientists”, 5rd Edition, Elsevier, 2014. 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. Devore. J.L., “Probability and Statistics for Engineering and the Sciences”, Cengage Learning, New Delhi, 8th Edition, 2014.
Text Book:
Johnson, R.A., Miller, I and Freund J., "Miller and Freund‘s Probability and Statistics for Engineers", Pearson Education, Asia, 8th Edition, 2015.. Milton. J. S. and Arnold. J.C., "Introduction to Probability and Statistics", Tata McGraw Hill, 4th Edition, 2017.
