PROBABILITY&STATISTICS

AI223

Course Code: AI223
Semester: Third Term (Fall)
Theory+Practice: 3 + 1
ECTS: 4

Course Type

Compulsory Course

Course Level

Bachelor's Degree

Year of Study

Semester

Third Term (Fall)

ECTS

Name of Lecturer(s)

Professor Berna Dengiz

Learning Outcomes

At the end of this course, the students;

Interpreting statistical data sets by using numerical and graphical techniques.
Learning the probability definition and its rules to be able to solve problems.
Learning the concept of random variables and their probability and distribution functions.
Choosing suitable probability distributions to apply and interrelate with the real life problems.
An ability to describe the basic concepts of statistics (population, sample, random sample, sampling distribution etc.)
Using sampling distributions in confidence intervals and sampling distributions, gaining ability of statistical inference.

Mode of Delivery

Face to face

Prerequisites

Recommended Optional Programme Components

Course Description

Basic concepts of probability. Definition of probability and its fundamental theorems. Random variable concept. Probability distributions. Mathematical expected value. Some discrete probability distributions and continuous probability distributions. Compound probability distributions. Random sampling. Some important statistics. Sampling distribution. Sampling distributions of sample mean and sample variance. Estimation problems and hypothesis testing for one and two samples.

Course Contents

WEEK	TOPICS
1^st Week	Basic principles of probability.
2^nd Week	Definition and basic theorems of probability.
3^rd Week	Concept of a random variable.
4^th Week	Probability distributions.
5^th Week	Mathematical expectation.
6^th Week	Some discrete and continuous distributions.
7^th Week	Joint probability distributions.
8^th Week	Midterm Exam
9^th Week	Random sampling.
10^th Week	Some important statistics.
11^th Week	Sampling distribution.
12^th Week	Sampling distributions of sample means and sample variances.
13^th Week	One- and two-sample estimation problems.
14^th Week	One-and two-sample tests of hypotheses.

Recommended or Required Reading

* Walpole R.E., Myers R.H., Myers Sh. L., Ye K. Probability and Statistics or Engineers and Scientists Prentice Hall, 7/E, 2002.
* Akdeniz F., Olasılık ve İstatistik, Nobel Kitabevi, 13. Baskı, 2007.
* Erbaş S. O., Olasılık ve İstatistik, Gazi Kitabevi, 2007.

Planned Learning Activities and Teaching Methods

Lecture
Questions/Answers
Experiment
Problem Solving
Other

Assessment Methods and Criteria

	Quantity	Percentage (%)
Mid-term	1	30
Quiz	5	30
Total(%)		60
Contribution of In-term Studies to Overall Grade(%)		60
Contribution of Final Examination to Overall Grade(%)		40
Total(%)		100

Language of Instruction

English

Work Placement(s)

Programme Qualifications / Learning Outcomes

	LO1	LO2	LO3	LO4	LO5	LO6
K1
K2
K3
K4
K5
K6
K7
K8
K9
K10
K11
K12