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| GEM2027 | Probability and Statistics | 3+0+0 | ECTS:3 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of NAVAL ARCHITECTURE and MARINE ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Öğr. Gör. Dr Şenol DEMİR | | Co-Lecturer | Dr. Şenol DEMİR | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | Giving some basic probability and statistics terms and concepts to students and earning them modelling and decision making ability which is useful in engineering applications. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Solve permutation and combination problems | 1 | 1, | | LO - 2 : | Graps the probability, conditional probabilities and random variables concepts. | 1 | 1, | | LO - 3 : | Solving reel life problems in the engineering by using statistical methods. | 1 | 1, | | LO - 4 : | Understand the details about the probability functions and apply them to engineering problems | 1 | 1, | | LO - 5 : | Learn and apply regression analysis | 1 | 1, | | LO - 6 : | Understand the statistical tests | 1 | 1, | | LO - 7 : | Compute the measures of central tendency and dispersion. | 1 | 1, | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Product rule, permutation, combination, concept of Probability (Kolmogorov axioms), conditional probability and independency, random variables, Probability density function, distribution function, discrete disributions: Bernoulli, Binomial, Poisson, continuous distributions: Normal, Gamma, Beta, Expectation, Moment generating function, mean, variance, standart deviation, covariance, correlation, Chebchev?s inequality, Estimator and its properties, maximum likelihood estimators, Confidence intervals, Hypothesis testing, One and two sample test for means, Regression. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Probability (Sample Space, event, axioms, set theory, counting, permutation, combination) Conditional Probability and Bayes Theorem | | | Week 2 | Probability (Sample Space, event, axioms, set theory, counting, permutation, combination) Conditional Probability and Bayes Theorem | | | Week 3 | Probability (Sample Space, event, axioms, set theory, counting, permutation, combination) Conditional Probability and Bayes Theorem | | | Week 4 | Random variables, Probability density function, Distribution function | | | Week 5 | Discrete distributions: Bernolli, Binom, Poisson | | | Week 6 | Continuous distributions: Normal, Gamma, Exponential | | | Week 7 | Moments, Moment Generating Function, Markov and Chebyshev Inequalities, Law of Big Numbers | | | Week 8 | Moments, Moment Generating Function, Markov and Chebyshev Inequalities, Law of Big Numbers | | | Week 9 | Midterm | | | Week 10 | Estimators and properties, Maximum likelihood estimators | | | Week 11 | Confidence intervals and hypothesis testing | | | Week 12 | One and two sample test for means | | | Week 13 | One and two sample test for means | | | Week 14 | Simple Regression and Correlation, Least square method, parameter estimates, coefficient of determination | | | Week 15 | Simple Regression and Correlation, Least square method, parameter estimates, coefficient of determination | | | Week 16 | Final | | | |
| 1 | Fundamentals of Probability and Statistics For Engineers(Soong)
Olasılık ve İstatistik; Fikri Akdeniz, Nobel Yayınevi
Olasılığa Giriş, Prof. Dr. Selahattin Maden ark. Seçkin Yayınevi | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 22/11/2024 | 1,30 | 50 | | End-of-term exam | 16 | 03/01/2025 | 1,30 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 4 | 14 | 56 | | Arasınav için hazırlık | 5 | 7 | 35 | | Arasınav | 2 | 1 | 2 | | Ödev | 1 | 12 | 12 | | Dönem sonu sınavı için hazırlık | 5 | 5 | 25 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 132 |
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