TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| INDUSTRIAL ENGINEERING PR. | |
| Code | ENM240 |
| Name | Probability And Statistics II |
| Term | 2025-2026 Academic Year |
| 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 |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. RIZVAN EROL |
| Course Instructor |
The current term course schedule has not been prepared yet. Previous term groups and teaching staff are shown.
|
Course Goal / Objective
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 | Acquires sufficient knowledge in mathematics, science and Industrial Engineering discipline-specific subjects; acquires the ability to use theoretical and applied knowledge in these fields in complex engineering problems. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquires the ability to identify, define, formulate and analytically solve complex Industrial Engineering problems; and has the ability to select and apply appropriate analysis and modelling methods for this purpose. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Acquires the ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; acquires the ability to apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Acquires the ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Industrial Engineering applications and acquires the ability to use information technologies effectively. | 5 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Acquire the skills to design and conduct experiments, collect data, analyze and interpret results to investigate complex Industrial 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, both verbally and in writing; knowledge of at least one foreign language; ability to write and understand effective reports, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | They have awareness of the necessity of lifelong learning; they have the ability to access information, follow developments in science and technology, and constantly renew themselves. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Acting in accordance with ethical principles, becoming knowledgeable about the standards used in engineering practices with awareness of professional and ethical responsibility. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Learn about business practices such as project management, risk management and change management, and is aware of entrepreneurship and innovation. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Informed about the universal and societal impacts of engineering practices on health, environment and safety, and the contemporary problems reflected in the field of engineering, and is aware of the legal consequences of engineering solutions. | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Benefit from the power of effective communication in professional life and has the ability to interpret developments correctly. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve integrated systems that include machines, people, time, information or money. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | By applying modern design methods, they have the ability to design, develop, implement and improve complex products, processes, businesses and systems under realistic conditions and constraints such as cost, environment, sustainable development, energy, manufacturability, ethics, 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 |
Assessment (Exam) Methods and Criteria
Current term shares have not yet been determined. Shares of the previous term are shown.
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | ||