Course Syllabus
IE331: PROBABILITY AND ENGINEERING STATISTICS (3:3,0,2)
(2008-2009)
Description:
Basic notations of probability and its applications in engineering problems. Distribution of random variables representing engineering attributes. Empirical distributions and sampling. Estimation and test of hypothesis with emphasis on engineering applications. Introduction to simple linear regression.
Pre-requisite:
Math 203
Text Book:
STATISTICS FOR ENGINEERS AND SCIENTISTS, 2nd. Edition>
By: William Navidi, McGraw-Hill Higher Education, 2008, ISBN 978-0-07-110222-3.
References:
1) Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers and Keying Ye; Probability and Statistics for Engineers and
Scientists (7th Ed( Prentice Hall Inc, (2002)
2) Hayter A.J; Probability and Statistics for Engineers and
Scientists, PWS Publishing Co., New York, NY (1996)
3) Millere I and Freund, J.E; Probability and Statistics for Engineers (3rd Ed) Prentice Hall Inc, Engelwood Cliffs, NJ
(1985)
Usage of appropriate software for solving problems is encouraged (MINITAB is preferable).
COURSE OUTLINE AND SCHEDULE
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Topics
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Chapter 1: Sampling and Descriptive Statistics
1.1 Sampling
1.2 Summary Statistics
1.3 Graphical Summaries
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Chapter 2: Probability
2.1 Basic Ideas
2.2 Counting Methods (*)
2.3 Conditional Probability and Independence
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2.4 Random Variables
2.5 Linear Functions of Random Variables
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Chapter 4: Commonly Used Distributions
4.2 The Binomial Distribution
4.3 The Poisson Distribution
4.4 Some Other Discrete Distributions (*)
- The Hypergeometric Distribution
- The Multinomial Distribution
4.7 The Exponential Distribution
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4.5 The Normal Distribution
4.6 The lognormal Distribution (*)
4.10 The Central Limit Theorem
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Chapter 5: Confidence Intervals
5.1 Large-Sample Confidence Intervals for a Population Mean
5.3 Small-Sample Confidence Intervals for a Population Mean
- The Student's t Distribution
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Chapter 6: Hypothesis Testing
6.1 Large-Sample Tests for a Population Mean
6.2 Drawing Conclusions From the Results of Hypothesis Tests
6.4 Small-Sample Tests for a Population Mean
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Chapter 7: Correlation and Simple Linear Regression
7.1 Correlation
7.2 The Least-Squares Line
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(*) Use examples only for the explanation of basic principles.
Grades Distribution:
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Home work
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5
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Attendance
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5
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Quizzes
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5
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Assignments
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(Common to all sections)
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5
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Major I Examination
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(Common to all sections)
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20
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Major II Examination
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(Common to all sections)
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20
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Final Examination
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(Common to all sections)
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40
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Total
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100
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