TÜRKÇE
ENGLISH
Information
| Code | ENM240 |
| Name | Probability And Statistics II |
| Semester | 4. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. RIZVAN EROL |
Course Goal
To compass some of the discrete and continuous distributions,to do sampling distributions and to estimate interval and to test hypothesis,
Course Content
Discrete random variables, Continuous random variables, Sampling distributions and estimation, Confidence intervals
Course Precondition
None
Resources
MONTGOMERY, D. C. & RUNGER, G. C., 2018, Applied Statistics and Probability for Engineers (7th edition), John Wiley& Sons, Inc.
Notes
STEPHENS, L. J. SPİEGEL, M. J., 2013, İstatistik/Statistics - Schaum's Serisi, Çelebioğlu, S.(çeviri editörü)
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Learn some of the discrete and continous distributions |
| LO02 | Understand the sampling distributions and their properties |
| LO03 | Do the point and interval estimate |
| LO04 | Do the hypothesis testing |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Have sufficient knowledge of mathematics, science and related engineering disciplines; can use the theoretical and applied knowledge in these fields in complex engineering problems. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquire the ability to identify, define, formulate and solve complex Industrial Engineering problems; for this purpose, will have the ability to choose and apply appropriate analysis and modeling methods. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; can apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Develops modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications, and has the ability to use information technologies effectively. | 5 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Have the ability to design experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics. | 5 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Have the ability to work effectively in disciplinary and multi-disciplinary teams or individually. | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Ability to communicate effectively in Turkish orally and in writing; knowledge of at least one foreign language; have the ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Have the awareness of the necessity of lifelong learning; can follow the developments in science and technology and have the ability to constantly renew themselves. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Acts in accordance with ethical principles, has knowledge about the standards used in engineering applications with the awareness of professional and ethical responsibility. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Gain knowledge of business practices such as project management, risk management and change management; become aware of entrepreneurship and innovation. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Gains knowledge about the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering and has awareness of the legal consequences of engineering solutions. | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | They can benefit from the power of effective communication in their professional life and have the ability to interpret developments correctly. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve integrated systems involving machine, time, information and money. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve complex products, processes, businesses, systems by applying modern design methods, under realistic conditions and constraints such as cost, environment, sustainability, manufacturability, ethical, health, safety and political issues. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Bernouli, binomial and multinomial distribution | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 2 | Geometric, Negative binomial and Hypergeometric distribution | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 3 | Poisson and discrete uniform distribution | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 4 | Normal distribution, standart normal distribution | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 5 | Normal approximation to binomial distribution, Continuos uniform and gamma distribution | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 6 | Sampling distribution, Point estimation, Confidence interval on the population mean of normal distribution with a known variance | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 7 | Chebyshev inequality, chi-square and F distribution | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 8 | Mid-Term Exam | Source reading | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Confidence interval on the mean of a population with normal distribution with unknown variance, Confidence interval on the variance of a population | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 10 | Confidence interval on the difference in means of two populations with normal distribution, | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 11 | Confidence interval on the ratio of variances of two normal distribution, Confidence interval on p, Confidence interval onthe difference of binomial parameters | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 12 | Hypothesis test on the mean of a normal distribution | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 13 | Hypothesis test on the variance of a normal distribution | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 14 | Hypothesis test on the equivalence of variance of two normal distribution, | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 15 | Hypothesis test on the binomial parameter and the difference of two binomial parameters | Source reading | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 16 | Term Exams | Source reading | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Source reading | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||