Course Information

Course Title	Code	Semester	L+U Hour	Credits	ECTS
PROBABILITY AND STATISTICS	İST249	3. Semester	3 + 0	3.0	5.0

Prerequisites

None

Language of Instruction	Turkish
Course Level	Bachelor's Degree
Course Type	Compulsory
Mode of delivery
Course Coordinator
Instructors	Yetkin TUAÇ
Assistants
Goals	Teachs basic statitical concepts and random events, teachs how to model random events and establish the link between theory of statistics and real world phenomenon, teaches basic concepts of probability theory
Course Content	Probability space, probability caluculations, discrete and contious random variables, cumulative distribuitons functions, probability mass and distiribution functions, expectation, multivariate distribuitons, transformation of random variables, sampling, hypothesis testing, forecasting,confidence intervals, simple linear regression and correlatio analysis
Learning Outcomes	1) Learns theoretical and practical concepts on the solution of probability problems. 2) Interprets descriptive statistics of the data obtained from experimental studies related to the field. 3) Has proficiency to model, analyze and statistical inference of related problems 4) Learns how to usehypothesis testing to test the statistical results

Week	Topics	Teaching and Learning Methods and Techniques	Study Materials
1. Week	Sets, sets operations,classes, sigma algebra and Borel algebra	Lecture; Question Answer	Homework
2. Week	Conditional expectation, independent events, Bayesian Theorem, basic probability calculations	Lecture; Question Answer	Homework
3. Week	Data analysis (descriptive statistics and graphical interpretation)	Lecture; Question Answer	Homework
4. Week	Discrete and continous random variables and their cumulative distribuiton functions	Lecture; Question Answer	Homework
5. Week	Probability mass functions, probability distributions functions and transformation of random variables	Lecture; Question Answer	Homework
6. Week	Expectation, moment generating functions	Lecture; Question Answer	Homework
7. Week	Probability mass functions	Lecture; Question Answer	Homework
8. Week	Probability distribuitons functions	Lecture; Question Answer	Homework
9. Week	Probability distributions	Lecture; Question Answer	Homework
10. Week	Sampling, sample mean and variance	Lecture; Question Answer	Homework
11. Week	Point estimation, interval estimation	Lecture; Question Answer	Homework
12. Week	Hypothesis tests (one sample)	Lecture; Question Answer	Homework
13. Week	Hypothesis tests (two sample)	Lecture; Question Answer	Homework
14. Week	Simple linear regression and correlation analysis	Lecture; Question Answer	Homework

Recommended Sources

Akdeniz, F. (2007). Olasılık ve İstatistik, Nobel Kitabevi (Ders Kitabı)

Akdi, Y. (2005). Matematiksel İstatistiğe Giriş, Bıçaklar Kitabevi

Apaydın, A., Kustal, A. ve Atakan, C. (2002). Uygulamalı İstatistik, Kılavuz

Erbaş, S.O.F. (2007). Olasılık ve İstatistik Problemler ve Çözümleri ile, Gazi Kitabevi

Miller ve Miller (2002). Matematiksel İstatistik, Literatür Yyayıncılık (Türkçe Çeviri)

Walpole, R.E. ve Myers, R.H. (1993). Probabilty and Statistics for Engineers and Scientists, Prentice Hall

*DK = Course's Contrubution.

	0	1	2	3	4	5
Level of contribution	None	Very Low	Low	Fair	High	Very High

Event	Quantity	Duration (Hour)	Total Workload (Hour)
Course Duration (Total weeks*Hours per week)	14	3	42
Work Hour outside Classroom (Preparation, strengthening)	14	3	42
Homework	2	10	20
Midterm Exam	1	2	2
Time to prepare for Midterm Exam	1	15	15
Final Exam	1	2	2
Time to prepare for Final Exam	1	25	25
Total Workload
Total Workload / 30 (s)
ECTS Credit of the Course			30