INTRODUCTION TO PROBABILITY AND STATISTICS

Course Description

The objective of this course is to introduce basic probability and statistics concepts. The focus of this course is on both applications and theory. Topics include: introduction to random variables, simple data analysis and descriptive statistics, frequency distribution, cumulative distribution, sample space, events, counting sample points (basic combinatorics), probability of an event, probability axioms, laws of probability, conditional probability, Bayes’ rule, discrete and continuous random variables, probability distributions, cumulative probability distributions, discrete and continuous probability distributions, discrete uniform, Binomial, Geometric, Hypergeometric, Poisson, Continuous uniform, Normal Disributions, Gamma and Exponential distribution, jointly distributed random variables, expectation and covariance of discrete and continuous random variables, random sampling, sampling distributions, distribution of Sample Mean, Central Limit Theorem(CLT).

INTRODUCTION TO PROBABILITY AND STATISTICS

Evaluation Tools (Active Term)

Course outcomes

1. 01 Apply(4) statistical methods in the engineering problem-solving approach
2. 02 Compute(3) and interpret(3) descriptive statistics using numerical and graphical techniques
3. 03 Identify(2) and apply(4) the basic concepts of probability
4. 04 Apply(4) probability theory to set up tree diagrams
5. 05 Apply(4) probability theory via Bayes’ Rule.
6. 06 Describe(3) the properties of random variables, discrete and continuous distribution functions.
7. 07 Identify(2) the basic concepts of joint probability distribution.

Course Syllabus

Reference Books & Course Materials

1. 01 Jay L. Devore, Probability and Statistics for Engineering and Sciences, 8th ed., Brooks/Cole Cengage Learning
2. 02 R.E.Walpole, R.H.Myers, S.L.Myers, K.Ye, Probability and Statistics for Engineers and Scientists, 7th ed., Prentice Hall, 2002.

Learning Outcomes

1. L01 Apply(4) statistical methods in the engineering problem-solving approach
2. L02 Compute(3) and interpret(3) descriptive statistics using numerical and graphical techniques
3. L03 Identify(2) and apply(4) the basic concepts of probability
4. L04 Apply(4) probability theory to set up tree diagrams
5. L05 Apply(4) probability theory via Bayes’ Rule.
6. L06 Describe(3) the properties of random variables, discrete and continuous distribution functions.
7. L07 Identify(2) the basic concepts of joint probability distribution.

Program Outcomes

1. Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems.
2. Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose.
3. Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose.
4. Ability to devise, select, and use modern techniques and tools needed for analysing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively.
5. Ability to design and conduct experiments, gather data, analyse and interpret results for investigating complex engineering problems or discipline specific research questions.
6. Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
7. Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions.
8. Recognition of the need for lifelong learning ; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
9. Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice.
10. Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
11. Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions.

Po-Lo Matrix