Dersin Bilgileri

Dersin Adı	Türkçe	Olasılık Teorisi
	İngilizce	Theory of Probability
Dersin Kodu	END 252E	Kredi	Ders (saat/hafta)	Uygulama (saat/hafta)	Labratuvar (saat/hafta)
Dönem	-	3	3	-	-
Dersin Dili		İngilizce
Dersin Koordinatörü		Hatice Tekiner Moğulkoç
Dersin Amaçları		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.
Dersin Tanımı		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.
Dersin Çıktıları		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.
Önkoşullar		MAT 103 MIN DD veya MAT 103E MIN DD veya MAT 101 MIN DD veya MAT 101E MIN DD
Gereken Olanaklar		MAT 103 MIN DD or MAT 103E MIN DD or MAT 101 MIN DD or MAT 101E MIN DD
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