SEMESTER V
MA311
PROBABILITY AND STATISTICS
(3 ‐ 0 ‐ 0) 3 credits
Probability Distributions: binomial distribution, hyper geometric distribution – Poisson
approximation to the binomial, geometric distribution, normal distribution – normal
approximation to the binomial distribution, uniform distribution, gamma distribution, beta
distribution, and Weibull distribution – mathematical expectation and moments, mean,
variance, moment generating function, and characteristic function – random Variable, discrete
and continuous random variables
Sampling Distributions and Inference Concerning Means: population and samples – central
limit theorem – sampling distributions of mean and variance – point estimation – confidence
interval for mean, variance and proportions – tests of hypotheses, the null hypotheses and the
significance tests – control charts for variables and attributes – acceptance sampling by
attributes – simple, double and sequential sampling plans – design of experiments.
Correlation and Regression Analysis: curve fitting by the method of least squares – chi‐square
test of goodness of fit – contingency tables – inference based on the least square estimators –
regression – correlation – inference concerning correlation coefficient.
Textbook:
1. Walpole, W. E., Myers, R. H., Myers, S. L., and Ye, K., Probability & Statistics for
Engineers & Scientists, 9th ed., Pearson Education (2012).
References:
1. Johnson, R. A., Miller & Freund's Probability and Statistics for Engineers, 6th ed., Prentice
Hall (2000).
2. Levin, R. I. and Rubin, D. S., Statistics for Management, 7th ed., Prentice Hall (1998).
3. Milton, J. S. and Arnold, J. C., Introduction to Probability and Statistics: Principles and
Applications for Engineering and the Computing Sciences, McGraw‐Hill (2002).
4. Ross, S. M., Introduction to Probability and Statistics for Engineers and Scientists, 3rd
ed., Academic Press (2004).
5. Feller, W., An Introduction to Probability Theory and Its Applications, vol.1 & vol.2, John
Wiley (1968).
6. Hogg, R. V., Craig, T., and McKean, J. W., Introduction to Mathematical Statistics, 6th ed.,
Prentice Hall (2004)
7. Hogg, R. V. and Tanis, E. A., Probability and Statistical Inference, 7th ed., Prentice Hall
(2005).
8. Larsen, R. J. and Marx, M. L., An Introduction to Mathematical Statistics and Its
Applications, 4th ed., Prentice Hall (2005).
9. Mendenhall, W., Wackerly, D., and Scheaffer, R. L., Mathematical Statistics with
Applications, 7th ed., Duxbury Press (2007).
30