PROBABILITY AND STATISTICS

MAT250

Course Code: MAT250
Semester: Fourth Term (Spring)
Theory+Practice: 3 + 1
ECTS: 5

Course Type

Compulsory Course

Course Level

Bachelor's Degree

Year of Study

Semester

Fourth Term (Spring)

ECTS

Name of Lecturer(s)

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

None

Course Description

Basic principles of probability. Definition and basic theorems of probability. Concept of a random variable. Probability distributions. Mathematical expectation. Some discrete and continuous distributions. Joint probability distributions. Random sampling. Some important statistics. Sampling distribution. Sampling distributions of sample means and sample variances. One- and two-sample estimation problems. One-and two-sample tests of hypotheses.

Course Contents

WEEK	TOPICS
1^st Week	Introduction to Statistics and Data Analysis
2^nd Week	Basic Concept of Probability
3^rd Week	Concept of Random Variable
4^th Week	Probability Distributions
5^th Week	Joint Probability Distributions
6^th Week	Mathematical Expectation
7^th Week	Some Discrete Probability Distributions
8^th Week	Mid-term exam
9^th Week	Some Continuous Probability Distributions
10^th Week	Introduction to Statistics and the Concept of Random Sampling
11^th Week	Sampling Distributions
12^th Week	Sampling Distribution of Means and Variance
13^th Week	One and two sample estimation problems
14^th Week	One and two sample estimation problems and tests of hypothesis
15^th Week	One and two sample tests of hypothesis

Recommended or Required Reading

1. Walpole R.E., Myers R.H., Myers Sh. L., Ye K. Probability and Statistics or Engineers and Scientists Prentice Hall, 7/E, 2002.
2. Akdeniz F., Olasılık ve İstatistik, Nobel Kitabevi, 13. Baskı, 2007.
3. 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

ECTS Allocated Based on Student Workload

Activities	Quantity	Duration (Hour)	Total Workload (Hour)
Midterm exam	1	1.3	1.3
Preparation for Quiz
Individual or group work
Preparation for Final exam	1	35	35
Course hours	14	4	56
Preparation for Midterm exam	1	30	30
Laboratory (including preparation)
Final exam	1	1.3	1.3
Homework	2	10	20
Quiz	3	0.8	2.4
Total Work Load			146
Total Work Load / 30 (h)			4.86
ECTS Credit of the Course			5

Language of Instruction

Turkish

Work Placement(s)

Programme Qualifications / Learning Outcomes

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