Download DOC/LP/01/28.02.02 LESSON PLAN LP

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