MA3391 subject code deals with the probability and statistics syllabus of B.E Environmental Engineering. In the second year, it is included in the semester III. This subject deals with the statistics and probability concepts to explore. In this article, we include textbooks and references to guide you to some more extent.

We aim to provide a detailed syllabus of MA3391 probability and statistics. You can find unit-wise concepts and can easily make your preparations for examinations. It wouldn’t be difficult to find all the requirements in one place for the subject syllabus. This motto makes us provide this information to make it easy for you. Hope this information is useful. Don’t regret to share it with your classmates.

If you want to know more about the syllabus of other branches including B.E Environmental Engineering connected to an affiliated institution’s four-year undergraduate degree programme. We provide you with a detailed Year-wise, semester-wise, and Subject-wise syllabus in the following link B.E Environmental Engineering Syllabus Anna University, Regulation 2021.

**Aim Of Concept:**

- This course aims at providing the required skill to apply the statistical tools in engineering problems.
- To introduce the basic concepts of probability and random variables.
- To introduce the basic concepts of two dimensional random variables.
- To acquaint the knowledge of testing of hypothesis for small and large samples which plays an important role in real-life problems.
- To introduce the basic concepts of classifications of design of experiments which plays very important roles in the field of agriculture and statistical quality control.

**MA3391 – Probability and Statistics Syllabus**

**Unit I:** Probability And Random Variables

Axioms of probability – Conditional probability – Baye’s theorem – Discrete and continuous random variables – Moments – Moment generating functions – Binomial, Poisson, Geometric, Uniform, Exponential and Normal distributions – Functions of a random variable.

**Unit II:** Two – Dimensional Random Variables

Joint distributions – Marginal and conditional distributions – Covariance – Correlation and linear regression – Transformation of random variables – Central limit theorem (for independent and identically distributed random variables).

**Unit III:** Estimation Theory

Unbiased estimators – Efficiency – Consistency – Sufficiency – Robustness – Method of moments – Method of maximum Likelihood – Interval estimation of Means – Differences between means, variations and ratio of two variances

**Unit IV:** Non – Parametric Tests

Introduction – The Sign test – The Signed – Rank test – Rank – sum tests – The U test – The H test – Tests based on Runs – Test of randomness – The Kolmogorov Tests.

**Unit V:** Statistical Quality Control

Control charts for measurements ( X̅ and R charts ) – Control charts for attributes ( p, c, and np charts) – Tolerance limits – Acceptance sampling.

**Text Books:**

- Johnson. R.A., Miller. I.R and Freund. J.E, “Miller and Freund’s Probability and Statistics for Engineers”, Pearson Education, Asia, 9th Edition, 2016.
- Milton. J. S. and Arnold. J.C., “Introduction to Probability and Statistics”, Tata Mc Graw Hill, 4th Edition, 2007.
- John E. Freund, “Mathematical Statistics”, Prentice Hall, 5th Edition, 1992.

**References:**

- Gupta. S.C. and Kapoor. V. K., “Fundamentals of Mathematical Statistics”, Sultan Chand & Sons, New Delhi, 12th Edition, 2020.
- Devore. J.L., “Probability and Statistics for Engineering and the Sciences”, Cengage Learning, New Delhi, 8th Edition, 2014.
- Ross. S.M., “Introduction to Probability and Statistics for Engineers and Scientists”, 5th Edition, Elsevier, 2014.
- Spiegel. M.R., Schiller. J. and Srinivasan. R.A., “Schaum’s Outline of Theory and Problems of Probability and Statistics”, Tata McGraw Hill Edition, 4th Edition, 2012.
- Walpole. R.E., Myers. R.H., Myers. S.L. and Ye. K., “Probability and Statistics for Engineers and Scientists”, Pearson Education, Asia, 9th Edition, 2010.

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