ISE 205 Engineering Probability and Statistics |
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Catalog Description |
Basic concepts and tools for non-deterministic systems. Elementary and conditional probability, random variables, distribution theory, hypothesis testing, confidence intervals, use of operating characteristic curves, parameter estimation, laboratory projects consisting of selected computer applications. |
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Course Objectives |
Introduce the students to basic concepts in probability & statistics to enable them
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Method of assessment |
Homework & Participation | 15 |
| Quiz | 20 | |
| Exam I | 20 (March 19 in Lab) | |
| Exam II | 20 (April 30 in Lab) | |
| Exam III | 25 |
| Topics | Classes | |
| 1. | Descriptive Statistics: data Summary
and Presentation The Engineering methods and statistical thinking. Role of statistics, stem and leaf, frequency distribution, measure of position, measures of dispersion and skewness. Box plot, time series Reference: Chapters 1 & 6 |
4 |
| 2. | Probability Sample space, basic set theory (complementation - combinatorial analysis), fundamentals of probability, laws of probabilities (independence, conditional probability, Bayes rule) Reference: Chapter 2 |
4 |
| 3. |
Discrete Random Variables and Probability
Distribution Concept of a random variable: concept of mass function, distribution function, expected value, binomial, geometric, hyper-geometric, Poisson distributions Reference: Chapter 3 |
5 |
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Continuous Random Variables and Probability
Distributions Continuous random variable, probability density function, distribution function, expected value, uniform, normal, exponential, gamma and Weibull distributions Reference: Chapter 4 |
5 |
| 5. | Sampling Distribution Random sampling, sampling distribution of the sample mean and the sample variance Reference: Chapter 7 |
2 |
| 6. | Estimation Theory Classical estimation (point and interval estimation), estimating the mean and the variance, constructing confidence interval for the difference of means and the ratio of variances Reference: Chapters 8 and 10 |
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| 7. | Joint probability distributions Joint probability distribution for discrete and continuous random variables, covariance and correlation Reference: Chapter 5 |
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| Text Book | D.C. Montgomery and C. Runger, Applied Statistics and Probability for Engineers, Wiley | |
| Pre-requisite | Math 201 Calculus II | |
| References | Hines et al, Probability and Statistics in Engineering,Wiley | |
| Attendance | University rules regarding unexcused absences will be enforced. | |
| Homework | Students must submit the homework on time. No late homework will be accepted. | |
| Computer Usage |
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| Instructor |
Office: 22/436 Industrial and Systems Engineering King Fahd University of Petroleum and Minerals 2005 |
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الوصف: المفاهيم الأساسية والأدوات اللازمة للنظم الغير قطعية. مبادئ الاحتمال و الاحتمال المشروط، المتغيرات العشوائية والتوزيع من الناحية النظرية، واختبار الفرضيات، والثقة، واستخدام المنحنيات، وتقدير خواص الدالات. المادة:
الاحتمالات و الإحصاء الهندسي برنامج
الهندسة الصناعية
و النظم |