 COURSE SUMMARY
Course Title:
Probability and Statistics
Course Code:
15MAT214
Year Taught:
2015
2016
2017
2018
Semester:
4
5
Type:
Foundation Core
Degree:
School:
School of Engineering
Campus:
Bengaluru
Chennai
Coimbatore
Amritapuri

'Probability and Statistics' is a course offered in the B. Tech. programs at School of Engineering, Amrita Vishwa Vidyapeetham.

#### SYLLABUS

Unit 1

Probability Concepts: Review of probability concepts - Bayes’ Theorem.

Random Variable and Distributions: Introduction to random variable – discrete and continuous distribution functions - mathematical expectations – moment generating functions and characteristic functions. Binomial, Poisson, Geometric, Uniform, Exponential, Normal distribution functions (MGF, mean, variance and simple problems) – Chebyshev’s theorem.

Unit 2

Sampling Distributions: Distributions of Sampling Statistics, Chi-square, t and F distributions (only definitions and use). Central Limit Theorem.
Theory of estimation: Point Estimation, Unbiased estimator - Maximum Likelihood Estimator - Interval Estimation.

Unit 3

Testing of Hypothesis: Large and small sample tests for mean and variance – Tests based on Chi-square distribution.

#### TEXT BOOK

• Douglas C. Montgomery and George C.Runger, Applied Statistics and Probability for Engineers, (2005) John Wiley and Sons Inc

#### REFERENCE BOOKS

• J. Ravichandran, “Probability and Random Processes for Engineers”, First Edition, IK International, 2015.
• Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers and Keying Ye, Probability and Statistics for Engineers and Scientists, 8th Edition (2007), Pearson Education Asia.
• Sheldon M Ross, Introduction to Probability and Statistical Inference, 6th Edition, Pearson.
• A. Papoulis, and Unnikrishna Pillai, “Probability, Random Variables and Stochastic Processes”, Fourth Edition, McGraw Hill, 2002.