MA8391 Syllabus Probability and Statistics Regulation 2017

MA8391 Syllabus Probability and Statistics Regulation 2017 Anna University free download. Probability and Statistics MA8391 Syllabus pdf free download.

UNIT I PROBABILITY AND RANDOM VARIABLES MA8391 Syllabus Probability and Statistics

Probability – The 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.

UNIT II TWO – DIMENSIONAL RANDOM VARIABLES MA8391 Syllabus Probability and Statistics

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 TESTING OF HYPOTHESIS MA8391 Syllabus Probability and Statistics

Sampling distributions – Estimation of parameters – Statistical hypothesis – Large sample tests based on Normal distribution for single mean and difference of means -Tests based on t, Chi-square and F distributions for mean, variance and proportion – Contingency table (test for independent) – Goodness of fit.

UNIT IV DESIGN OF EXPERIMENTS MA8391 Syllabus Probability and Statistics

One way and Two way classifications – Completely randomized design – Randomized block design – Latin square design – 22 factorial design.

UNIT V STATISTICAL QUALITY CONTROL MA8391 Syllabus

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

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.