Course Code: MAT 104

Title: Probability and Statistics

L T P C 3 1 0 4

Version No. 1.1

Course Prerequisites

MAT101 Multivariable calculus and Differential Equations

Objectives To provide the mathematical support by way of probabilistic models and statistical methodology to tackle problems encountered in Science and Engineering applications.

Expected Outcome

Understand basic notions of probability arising in a variety of uncertain situations which are nontraditional in areas of science and engineering. Knowing the basic tools of statistical methods Emphasize the study of data analysis leading to probabilistic models

Unit Nos. Unit Title Number of hours (per Unit)

Unit 1 Random variables 9+3 hours

Random variables- distribution and density functions-random vectors-joint distribution and joint density functions- conditional distribution and density functions-co-variance-correlation - mathematical expectation - moment generating function characteristic function.

Unit 2 Distributions 9+3hours

Binomial and Poisson distributions normal distribution gamma and exponential distributions Weilbull distribution - regression and correlation partial and multiple correlation- multiple regression.

Unit 3 Testing hypothesis 9+3 Hours

Large sample tests- procedure of testing hypothesis- small sample tests- Students t-test - F-test- chi-square test- independence of attributes and goodness of fit.

Unit 4 ANOVA 9+3 hours

Analysis of variance one and two way classifications - CRD- RBD- LSD.

Unit 5 Non-parametric tests 9+3 hours

Non-parametric tests-sign test-signed-rank test-rank-sum test- Kruskal-Wallis test-runs test- tolerance limits-rank correlation coefficient.

Text Book R.E.Walpole, R.H.Mayers, S.L.Mayers and K.Ye, Probability and Statistics for engineers and scientists, 7th Edition, Pearson Education (2003).

Reference Books

1. J.L.Devore, Probability and Statistics, 5th Edition, Thomsun (2000).

2. R.A.Johnson, Miller & Freunds Probability and Statistics for Engineers, seventh edition, Pearson Education, Delhi (2008).

Mode of Evaluation

Continuous Assessment Tests, Assignments, Tutorial sheets, Class Tests, Quizzes.

Recommended by the Board of Studies on 04-04-2009

Date of approval by the Academic Council