Can understand the importance of probability in Industrial Engineering
Have the ability to interpret and apply the numerical and graphical methods which are used in summarizing the statistical data sets
Have the ability of problem solving by learning the definition and rules of probability
Learn and apply the concepts of random variables and their probability and distribution functions
Have the ability to choose and apply the suitable probability distribution for a problem and to be able to interrelate with the real life problems, as well.
Have the ability to determine the probability distributions for the functions of random variables and to be able to interrelate with sampling distributions as well.
Have the ability to describe the basic concepts of statistics (population, sample, ramdom sample, sampling distribution etc.)
Mode of Delivery
Face to face
Prerequisites
No
Recommended Optional Programme Components
None
Course Description
Probability concept and basic theorems of probability. Independence, conditional probability and Bayes' rule. Random variable and functions. Considerable discrete and continuous distributions. Distributions of random variables' functions. Subject of statistics and its method. Unit, population, data analysis, central tendency measurements. Sampling and sampling methods, sampling distributions.
Course Contents
WEEK
TOPICS
1st Week
Displays of Data Sets and Calculations of Some Important Statistics
2nd Week
Fundamentals of Probability
3rd Week
Definition of Probability, Conditional Probability, Bayes' Theorem and Independent Events
4th Week
Concept of Random Variable, Probability Distributions
5th Week
Discrete and Continuous Probability Distributions
6th Week
Joint Probability Distributions, Statistical Independence
7th Week
Mathematical Expectation, Variance and Covariance
8th Week
Some Discrete Probability Distributions
9th Week
Midterm
10th Week
Some Continuous Probability Distributions
11th Week
Fuctions of Random Variables, Distribution Function Technique
12th Week
Change of Variables Techique (For one and two random variables)
13th Week
Moment Generating Function Technique, Definition of Random Sampling
14th Week
Concept of Random Sampling, Sampling Distributions for Some Statistics
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. 7th edition;
(2) İ. Kara. Olasılık, Bilim Teknik, 2000
(3) Akdeniz F. "Olasılık ve İstatistik", Nobel Kitabevi, 13. Baskı, 2007.
(4) Erbaş S. O. "Olasılık ve İstatistik", Gazi Kitabevi.
Planned Learning Activities and Teaching Methods
Lecture
Discussion
Questions/Answers
Other
Assessment Methods and Criteria
Quantity
Percentage (%)
Mid-term
1
30
Assignment
4
10
Quiz
4
20
Total(%)
60
Contribution of In-term Studies to Overall Grade(%)
60
Contribution of Final Examination to Overall Grade(%)
