Formatting slide content and using bullets and numbering

Insert and format images, smart art, tables, charts

Using Slide master, notes and handout master

Working with animation and transitions

Organize and Group slides

Import or create and use media objects: audio, video, animation

Perform slideshow recording and Record narration and create presentable videos

TOTAL: 30 PERIODS
COURSE OUTCOMES:
On successful completion the students will be able to
CO1:Use MS Word to create quality documents, by structuring and organizing content for their day
to day technical and academic requirements
CO2:Use MS EXCEL to perform data operations and analytics, record, retrieve data as per
requirements and visualize data for ease of understanding
CO3:Use MS PowerPoint to create high quality academic presentations by including common
tables, charts, graphs, interlinking other elements, and using media objects.

MA3391 PROBABILITY AND STATISTICS L T P C

3 1 0 4

COURSE OBJECTIVES
 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.

UNIT I PROBABILITY AND RANDOM VARIABLES 9+3
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 9+3

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 9+3

Unbiased estimators - Efficiency - Consistency - Sufficiency - Robustness - Method of moments -
Method of maximum Likelihood - Interval estimation of Means - Differences between means,

67
variations and ratio of two variances

UNIT IV NON- PARAMETRIC TESTS 9+3

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 9+3

Control charts for measurements ( 𝑋̅ and R charts ) – Control charts for attributes ( p, c and np
charts) – Tolerance limits - Acceptance sampling.
TOTAL: 60 PERIODS
COURSE OUTCOMES:
Upon successful completion of the course, students will be able to:
CO1:Understand the fundamental knowledge of the concepts of probability and have knowledge of
standard distributions which can describe real life phenomenon.
CO2:Understand the basic concepts of one and two dimensional random variables and apply in
engineering applications.
CO3:Apply the concept of testing of hypothesis for small and large samples in real life problems.
CO4:Apply the basic concepts of classifications of design of experiments in the field of agriculture
and statistical quality control.
CO5:Have the notion of sampling distributions and statistical techniques used in engineering and
management problems.
TEXT BOOKS
1. 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.
2. Milton. J. S. and Arnold. J.C., "Introduction to Probability and Statistics", Tata McGraw Hill,
4th Edition, 2007.
3. John E. Freund, "Mathematical Statistics", Prentice Hall, 5th Edition, 1992.
REFERENCES:
1. Gupta. S.C. and Kapoor. V. K., “Fundamentals of Mathematical Statistics”, Sultan Chand
& Sons, New Delhi, 12th Edition, 2020.
2. Devore. J.L., "Probability and Statistics for Engineering and the Sciences”, Cengage
Learning, New Delhi, 8th Edition, 2014.
3. Ross. S.M., "Introduction to Probability and Statistics for Engineers and Scientists",
5thEdition, Elsevier, 2014.
4. 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.
5. 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.
CO’s-PO’s & PSO’s MAPPING
PO PO PO PO PO PO PO PO PO PO PO PO PS PS PS
01 02 03 04 05 06 07 08 09 10 11 12 O1 O2 O3
CO1 3 3 0 0 0 0 0 0 2 0 0 2
CO2 3 3 0 0 0 0 0 0 2 0 0 2
CO3 3 3 0 0 0 0 0 0 2 0 0 2
CO4 3 3 3 2 0 0 0 0 2 0 0 2
CO5 3 3 2 2 0 0 0 0 2 0 0 2
AVG 3 3 1 1 0 0 0 0 2 0 0 2
1 - low, 2 - medium, 3 - high, ‘-' - no correlation
68