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DOC/LP/01/28.02.02 LP-CH – MA6468 LESSON PLAN LP Rev. No: 00 Sub Code & Name: MA6468 PROBABILITY AND STATISTICS Unit: I Branch: CH&BT Date: 2.1.2015 Page 1 of 6 Semester : IV Unit syllabus: RANDOM VARIABLES Discrete and continuous random variables - Moments - Moment generating functions - Binomial, Poisson, Geometric, Uniform, Exponential, Gamma, and Normal distributions Objective: To enable the student to know the concept of random variables and. Knowledge of standard distributions which are applicable for real life problems. Session No Topics to be covered Time 1. Introduction to unit I. Random variables. 50m 2. Probability mass function, probability density function Cumulative distribution function. 50m 3. Moments and problems based on moments. 50m 4. Moment generating functions (MGF), and problems based on MGF. 50m 5. Binomial distribution. 50m 6. Poisson distribution. 50m 7. Geometric distribution. 50m 8. Uniform distribution. 50m 9. Exponential distribution. 50m 10. Gamma distribution. 50m 11. Normal distribution. 50m 12. Summarizing the unit. 50m 1 Ref Teaching Method 1,2,3 BB /PPT LP-CH – MA6468 LESSON PLAN LP Rev. No: 00 Sub Code & Name: MA6468 PROBABILITY AND STATISTICS Unit: II Branch: CH&BT Date: 2.1.2015 Semester : IV Page 2 of 6 Unit syllabus: TWO DIMENSIONAL RANDOM VARIABLES 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). Objective: To enable the students to gain knowledge in two random variables and functions of random variables. Session No Topics to be covered Time 13. Introduction - Unit Syllabus - Joint distributions. 50m 14. Marginal and conditional distributions. 50m 15. Problems on Marginal and conditional distributions. 50m Ref Teaching Method 1,2,3 16. CAT – I 17. Covariance. 50m 18. Properties and problems on Correlation coefficients. 50m 19. Properties and problems on Regression. 50m 20. Problems on Correlation and Regression. 50m 1,2,3 BB/PPT 21. Problems on transformation of random variables. 50m 22. Central limit theorem. 50m 23. Problems on Central limit theorem. 50m 24. Summarization of Unit-II. 50m 2 LP-CH – MA6468 LESSON PLAN LP Rev. No: 00 Sub Code & Name: MA6468 PROBABILITY AND STATISTICS Unit: III Branch: CH&BT Date: 2.1.2015 Semester : IV Page 3 of 6 Unit syllabus: TESTING OF HYPOTHESIS Sampling distributions – Estimation of parameters-Statistical hypothesis-Large sample test 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. Objective: To enable the students to gain knowledge in managerial problems especially in quality control problems. Session No Topics to be covered Time 25. Introduction to sampling distribution. 50m 26. Procedure for Testing of hypothesis. 50m 27. Testing of hypothesis for single mean using t-test. 50m 28. Testing of hypothesis for difference of means using t-test. 50m 29. Testing of hypothesis for mean and differences using Normal Distribution. 50m 31. F-test between variances. 50m 32. Testing of hypothesis for mean, variance using Chi-square distribution. 50m 33. Chi-square Test for independence of attributes. 50m 34. Chi-square Test for goodness of fit. 50m 35. Summarizing the unit. 50m 3 Teaching Method 50m 30. Problems based on F-test 36. CAT – II Ref 1,2,5 BB/PPT LP-CH- MA6468 LESSON PLAN LP Rev. No: 00 Sub Code & Name: MA6468 PROBABILITY AND STATISTICS Unit: IV Branch: CH&BT Date: 2.1.2015 Page 4 of 6 Semester : IV Unit syllabus: DESIGN OF EXPERIMENTS One way and two way classifications – Completely randomized design - Randomized block design - Latin square.design-22 factorial design. Objective: Students would be exposed to statistical methods designed to contribute to the process of making scientific judgments in the face of uncertainty and variation. Session No Topics to be covered Time 37. Introduction—Unit syllabus. 50m 38. One way classification. 50m 39. Problems. 50m 40. Two-way classification. 50m 41. Problems. 50m 42. Completely randomized design. 50m 43. problems 50m 44. 50m Randomized block design. 45. problems 50m 46. Latin square design and 22 factorial design 50m 47. problems 50m 48. Summarizing the unit. 50m 4 Ref Teaching Method Black Board 1,2,4 and Chalk LP-CH LESSON PLAN Sub Code & Name: MA6468 PROBABILITY AND STATISTICS Unit: V Branch: CH&BT - MA6468 LP Rev. No: 00 Date: 2.1.2015 Page 5 of 6 Semester : IV Unit syllabus: STATISTICAL AND QUALITY CONTROL Control charts for measurements (X and R charts) – Control charts for attributes (p, c and np charts).-Tolerance limits-Acceptance sampling. Objective: To enable the students to know the concepts of statistical Quality control theory and their applications on real time problems. Session No Topics to be covered Time 49. Introduction—Unit syllabus 50m 50. Control charts for measurements - X charts. 50m 51. Problems based on X-chart. 50m 52. Control charts for attributes – R chart. 50m 53. Problems based on R-chart 50m 54. Control charts for attributes –p charts. 50m 55. .Problems based on –p chart 50m 56. Control charts for attributes- c charts. 50m 57. Problems based on - c charts. 50m 58. Control charts for attributes - np charts. 50m 59. 50m Summarizing the unit. 60. CAT – III 5 Ref Teaching Method 1,3,5 BB/PPT LP- CH – MA6468 LESSON PLAN LP Rev. No: 00 Sub Code & Name: MA6468 PROBABILITY AND STATISTICS Branch: CH&BT Date: 2.1.2015 Page 6 of 6 Semester : IV Course Delivery Plan: 1 Week I II 2 3 4 5 I II I II I II 6 7 9 10 11 12 13 14 15 I II I II I II I II I II I II I II I II I II I II I II CAT-III CAT-II CAT - CAT-I CAT-I Units 8 BOOKS FOR REFERENCES: 1. J. S. Milton and J.C. Arnold, “Introduction to Probability and Statistics”, Tata McGraw Hill, 4th edition, 2007(for units 1 & 2). 2. R.A. Johnson and C.B. Gupta, “Miller and Freund’s Probability and Statistics for Engineers”, Pearson Education, Asia, 7th edition, (2007) 3. Walpole, R. E., Myers, R. H. Myers R. S. L. and Ye. K, “Probability and Statistics for Engineers and Scientists”, Seventh Edition, Pearsons Education, Delhi, 2002. 4. Navidi, W, “Statistics for Engineers and Scientists”, Special Indian Edition, Tata McGrawHill Publishing Company Ltd, New Delhi,2008. 5. Spiegel, M.R, Schiller, J and Alu Srinivasan, R, “Schaum’s Outlines Probability and Statistics”, Tata McGraw-Hill Publishing Company Ltd. New Delhi ,2007. Prepared by Approved by Dr. V .VALLIAMMAL Dr. R. Muthcumaraswamy Signature Name Designation Date Professor & Head Assistant Professor 2.1.2015 2.1.2015 6