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Sathyabama Institute of Science and Technology BE CSE SMTA1402 Probability and Statistics Syllabus SATHYABAMA INSTITUTE OF SCIENCE AND TECHNOLOGY SCHOOL OF COMPUTING SMTA1402 PROBABILITY AND STATISTICS (COMMON TO CSE AND IT) L T P Credits Total Marks 3 * 0 3 100 UNIT 1 PROBABILITY CONCEPTS AND RANDOM VARIABLE 9 Hrs. Probability Space – Events – Axiomatic approach to Probability – Conditional Probability – Independent Events – Baye’s Theorem – Random Variables – Functions of Random Variables and their Probability Distribution. UNIT 2 PROBABILITY DISTRIBUTION 9 Hrs. Discrete Distributions: Binomial, Poisson and Geometric – Continuous Distributions: Uniform, Exponential and Normal – Applications only ( no derivation). UNIT 3 TWO DIMENSIONAL RANDOM VARIABLES 9 Hrs. Joint Probability distributions – Marginal and Conditional Distributions – Transformation of Random Variables. UNIT 4 CORRELATION AND REGRESSION 9 Hrs. Correlation – Linear regression – Multiple and Partial Correlation – Curve Fitting – Method of Least Squares – Fitting of the Curve of the form y = a+bx , y = a+bx+cx2, z = ax+by+c. UNIT 5 ANALYSIS OF VARIANCE AND STATISTICAL QUALITY CONTROL 9 Hrs. Review of Ftest – Design of experiments: Completely Randomized Design, Randomized Block Design and Latin Square Design – Statistical Quality Control: Mean, Range, p, np, c – charts. Max. 45 Hrs. COURSE OUTCOMES On completion of the course, student will be able to CO1  Define probabilities, probability distributions. List the discrete and continuous distributions. CO2  Explain functions of random variables and their probability distributions. Explain and derive the parameters of the distributions. CO3  Choose appropriate probability theorem and solve the problems. Prepare the cumulative distribution for random variables. Application of the parameters of distributions. Sketch the control charts and point out the results based on the charts. CO4  Distinguish correlation and regression. Categorize the regression coefficients. CO5  Evaluate the constants involved in curves by the method of least squares. Evaluate the correlation coefficients. Compare the variances of design of experiments. CO6  Construct and develop the transformations of random variables. Also determine their mean and variances by expectations. TEXT / REFERENCE BOOKS 1. Hong R.V, Tanis E.A and Zimmerman D L, Probability and Statistical Inference, Pearson Education Limited, 9th Edition, 2015. 2. Miller I. and Freund J.E, Probability and Statistics for Engineers, Pearson Publishers, 9th Edition, 2017. 3. Gupta S C and Kapoor V K, Fundamentals of Mathematical Statistics, Sultan Chand and Sons, 10th Edition, 2002. 4. Veerarajan T., Probability, Statistics and Random Processes, Tata McGrawHill, New Delhi, 4th Edition, 2014. 5. Sivaramakrishna Das P., Vijaya Kumari C., Probability and Random Processes, Pearson Education, 6th Edition 2014. END SEMESTER EXAMINATION QUESTION PAPER PATTERN Max. Marks : 100 Exam Duration : 3 Hrs. PART A : 10 Questions of 2 marks eachNo choice 20 Marks PART B : 2 Questions from each unit with internal choice, each carrying 16 marks 80 Marks 
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