Discrete and continuous random variables - Properties- Moments - Moment generating functions and their properties. Binomial, Poisson ,Geometric, Negative binomial, Uniform, Exponential, Gamma, and Weibull distributions.
TWO DIMENSIONAL RANDOM VARIABLES
Joint distributions - Marginal and conditional distributions – Covariance - Correlation and regression - Transformation of random variables - Central limit theorem.
TESTING OF HYPOTHESIS
Sampling distributions – Testing of hypothesis for mean, variance, proportions and differences using Normal, t, Chi-square and F distributions - Tests for independence of attributes and Goodness of fit.
DESIGN OF EXPERIMENTS
Analysis of variance – One way classification – CRD - Two – way classification – RBD - Latin square.
RELIABILTY AND QUALITY CONTROL
Concepts of reliability-hazard functions-Reliability of series and parallel systems- control charts for measurements (x and R charts) – control charts for attributes (p, c and np charts
REFERENCE
Text Books
1. J. S. Milton and J.C. Arnold, “ Introduction to Probability and Statistics”, Tata
McGraw Hill, 4th edition, 2007. (For units 1 and 2)
2. R.A. Johnson and C.B. Gupta, “Miller and Freund’s Probability and Statistics for
Engineers”, Pearson Education, Asia, 7th edition, (2007)
Reference Books
1. Walpole, R. E., Myers, R. H. Myers R. S. L. and Ye. K, “Probability and
Statistics for Engineers and Scientists”, Seventh Edition, Pearsons Education,
Delhi, 2002.
2. Navidi, W, “Statistics for Engineers and Scientists”, Special Indian Edition, Tata
McGraw-Hill Publishing Company Ltd, New Delhi,2008.
3. Spiegel, M.R, Schiller, J and Alu Srinivasan, R, “Schaum’s Outlines Probability
and Statistics”, Tata McGraw-Hill Publishing Company Ltd. New Delhi ,2007.