'Probability and Statistics' is a course offered at the School of Arts and Sciences, Amrita Vishwa Vidyapeetham, Mysuru campus.
To enable students to understand the properties of probability and probability distributions and apply wide variety of specific statistical methods.
Unit I:
Probability Concepts: Important definitions- random experiment, trial, sample space, mutually exclusive events, independent events, dependent events, equally likely events, exhausitive events – approaches to measuring probability.
Unit II:
Random Variables: Discrete and continuous random variables – discrete and continuous distribution functionsmathematical expectation.
Unit III:
Distributions: Standard distributions - discrete distributions Binomial, Poisson. Continuous distributions uniform, exponential, Normal distributions.
Unit IV:
Correlation: Introduction to simple correlation - scatter plot and correlation coefficient, properties of correlation coefficient, rank correlation coefficient.
Unit V:
Regressions: Introduction to simple regression, regression lines.
- 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.
- Douglas C. Montgomery and George C. Runger, Applied Statistics and Probability for Engineers, John Wiley and Sons Inc., 2005.
- Ravichandran, J. Probability and Statistics for engineers, First Reprint Edition, Wiley India, 2012.
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