Course Information

Course Name	Turkish	Olasılık Teorisi
	English	Theory of Probability
Course Code	IND 252E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	3	-	-	-
Course Language		English
Course Coordinator		Hatice Tekiner Moğulkoç
Course Objectives		Making a basic introduction to the Theory of Probability which is an important foundation of Industrial Engineering. Showing possible applications, in addition to the theoretical presentation of the subjects, through examples.
Course Description		Combinatorial analysis: counting, permutation, combination, binomial and multinomial coefficients, number of non-negative and positive integer solutions of a linear equation. Definition of probability and related concepts, different approaches to probability, axioms of probability, sample spaces having equally likely outcomes. Conditional probability, Bayes’ theorem, independent events. Random variables, distribution functions, expected value and variance. Discrete random variables: discrete uniform distribution, Bernoulli and related distributions, Poisson distribution, hypergeometric distribution. Continuous random variables: uniform distribution, normal distribution, exponential distribution, distribution of a function of a random variable. Jointly distributed random variables, sums of independent random variables, conditional distributions, order statistics, distribution of functions of random variables. Conditional expectation, moment generating functions. Limit theorems: Chebychev's inequality, the central limit theorem. Some computer applications.
Course Outcomes		Students who pass the course will: I. Learn basic theoretical background information for theory of probability II. Learn random variables and their use III. Learn Expectation in a broader perspective IV. Learn finding some bounds on the probabilities
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