| April 23rd, 2021 09:25 AM | |
| prince karak | Sathyabama Institute of Science and Technology B.Tech IT SMTA1402 Probability and Statistics Syllabus Sathyabama Institute of Science and Technology B.Tech IT SMTA1402 Probability and Statistics Syllabus SATHYABAMA INSTITUTE OF SCIENCE AND TECHNOLOGY SCHOOL OF COMPUTING SMTA1402 PROBABILITY AND STATISTICS (CSE & 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 TWODIMENSIONAL 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 F-test–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, Ninth 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 VeerarajanT.,Probability, Statistics and Random Processes, Tata McGraw-Hill, New Delhi, 4th Edition, 2014. 5 Sivarama krishna 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 carrying 2 marks each – No choice 20 Marks PART B: 2 Questions from each unit of internal choice, each carrying 16 marks 80 Marks |
