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# MA8391 Syllabus Probability and Statistics Regulation 2017 Anna University

## MA8391 Syllabus Probability and Statistics Regulation 2017

### 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.

 Subject Name Probability and Statistics Subject Code MA8391 Regulation 2017 File PDF