TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| INDUSTRIAL ENGINEERING PR. | |
| Code | ENM240 |
| Name | Probability And Statistics II |
| Term | 2021-2022 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 |
Prof. Dr. RIZVAN EROL
(Bahar)
(A Group)
(Ins. in Charge)
|
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
Resources
Notes
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 | - | Adequate knowledge in mathematics, science and related engineering discipline; ability to use theoretical and practical knowledge in these areas in complex engineering problems. | 4 |
| PLO02 | - | An ability to identify, formulate, and solve complex industrial engineering problems; the ability to select and apply appropriate analysis and modeling methods for this purpose. | 4 |
| PLO03 | - | An ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. | 3 |
| PLO04 | - | Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications; ability to use information technologies effectively. | 3 |
| PLO05 | - | Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or discipline-specific research topics. | 4 |
| PLO06 | - | Ability to work effectively in disciplinary and multidisciplinary teams; self-study skills. | 3 |
| PLO07 | - | Ability to communicate effectively in Turkish presentation and in writing; knowledge of at least one foreign language; Ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give clear and understandable instruction and receiving skills. | 3 |
| PLO08 | - | Awareness of the necessity of lifelong learning; the ability to access information, follow developments in science and technology, and constantly renew oneself. | 3 |
| PLO09 | - | To act in accordance with ethical principles, professional and ethical responsibility awareness; information about standards used in engineering applications. | 3 |
| PLO10 | - | Information on business practices such as project management, risk management and change management; awareness about entrepreneurship and innovation; information on sustainable development. | 3 |
| PLO11 | - | Information about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems reflected in the engineering field of the age; awareness of the legal consequences of engineering solutions. | 3 |
| PLO12 | - | Ability to make use of the power of effective communication in professional life, to interpret the developments correctly and to make decisions. | 2 |
| PLO13 | - | Ability to design, develop, implement and improve integrated systems including machinery, time, information and money. | 3 |
| PLO14 | - | Ability to design, develop, implement and improve complex product, process, business, system design by applying modern design methods under realistic conditions and constraints such as cost, environment, sustainability, productivity, ethics, health, safety and political issues. | 3 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Bernouli, binomial and multinomial distribution | Source reading | |
| 2 | Geometric, Negative binomial and Hypergeometric distribution | Source reading | |
| 3 | Poisson and discrete uniform distribution | Source reading | |
| 4 | Normal distribution, standart normal distribution | Source reading | |
| 5 | Normal approximation to binomial distribution, Continuos uniform and gamma distribution | Source reading | |
| 6 | Sampling distribution, Point estimation, Confidence interval on the population mean of normal distribution with a known variance | Source reading | |
| 7 | Chebyshev inequality, chi-square and F distribution | Source reading | |
| 8 | Mid-Term Exam | Source reading | |
| 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 | |
| 10 | Confidence interval on the difference in means of two populations with normal distribution, | Source reading | |
| 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 | |
| 12 | Hypothesis test on the mean of a normal distribution | Source reading | |
| 13 | Hypothesis test on the variance of a normal distribution | Source reading | |
| 14 | Hypothesis test on the equivalence of variance of two normal distribution, | Source reading | |
| 15 | Hypothesis test on the binomial parameter and the difference of two binomial parameters | Source reading | |
| 16 | Term Exams | Source reading | |
| 17 | Term Exams | Source reading |
Assessment (Exam) Methods and Criteria
| 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 | ||