 COURSE SUMMARY
Course Title:
Probability and Statistics
Course Code:
18MAT320
Year Taught:
2019
Semester:
6
Degree:
Integrated Degree
School:
School of Arts and Sciences
Campus:
Mysuru

'Probability and Statistics' is a course offered in Sixth Semester of B. Sc. - B. Ed. in Physics, Mathematics, Computer Science program at the School of Arts and Sciences, Amrita Vishwa Vidyapeetham, Mysuru campus.

#### Scope and Objectives

On completion of the course, the student teacher will;

To enable students to understand the properties of probability and probability distributions and apply wide variety of specific statistical methods.

#### Syllabus

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.

#### Textbook

1. 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.

#### References

1. Douglas C. Montgomery and George C. Runger, Applied Statistics and Probability for Engineers, John Wiley and Sons Inc., 2005
2. Ravichandran, J. Probability and Statistics for engineers, First Reprint Edition, Wiley India, 2012.