Course

Unit 1

Sample Space and Events, Interpretations and Axioms of Probability, Addition rules, Conditional Probability, Multiplication and Total Probability rules, Independence, Bayes theorem. Random variables, Probability Distributions and Probability mass functions, Cumulative Distribution functions, mathematical expectation, variance . (20 Hrs)

Unit 2

Standard discrete distributions – Binomial, Poisson, Uniform, Geometric distributions, Negative binomial and Hypergeometric Distributions -Standard continuous distributions – Uniform, Exponential and Normal distributions, Correlation and Regression. (20 Hrs)

Unit 3

Tests of Hypotheses: General Procedure for Hypothesis Tests, Problems based on large sample tests and small sample tests – Z, t, F test and chi-square tests. Analysis of variance- One way classification, Two-way classification, Latin square design. (20 Hrs)

Text Books / References

Text Books

1. Douglas C. Montgomery and George C. Runger, Applied Statistics and Probability for Engineers, John Wiley and Sons Inc., 2005   
2. Amir D Azcel, Jayavel Sounderpandian, Palanisamy Saravanan and Rohit Joshi, Complete Business Statistics, 7th edition McGrawHill education 2012.   
3. Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers and Keying Ye, Probability and Statistics for Engineers and Scientists, 8th Edition, Pearson Education Asia, 2007.

References

1. Ross S.M., Introduction to Probability and Statistics for Engineers and Scientists, 3rd edition, Elsevier Academic Press.   
2. Ravichandran, J. Probability and Statistics for engineers, First Reprint Edition, Wiley India, 2012. 

CO-PO Mapping