END 252E • Tüm Sınavlar • Theory of Probability
Bu ders ile END 252E sınavı için temel konseptleri çok iyi anlamakla kalmayıp sınava girmeye de tamamen hazır olacaksın.
Dersin içeriğinde yer alan Combinatory Analysis, Rules of Probability, Conditional Probability, Independence, Bayes Theorem, Discrete Random Variables ve Special Discrete Variables kavramlarını çok iyi öğreneceksin ve hepsine dair örnek sorular ve geçmiş sınav soruları göreceksin.
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Eğitmenler
Ömer Faruk Altun
Co-founder & Head of Education
2011 yılında Endüstri Mühendisliği okumak için başladığım Sabancı Üniversitesi'nden 2018 yılında Bilgisayar Mühendisi olarak mezun oldum. 13 yıldır Altun ismiyle başta Sabancı Üniversitesi olmak üzere çeşitli okullarda Endüstri ve Bilgisayar Mühendisliği alanlarında ders vermekteyim. Unicourse'ta sunduğum derslerin yanında eğitim departmanının da sorumluluğunu üstlenmekteyim.
İhsan Altundağ
Eğitmen
2007 yılında Galatasaray Üniversitesi Bilgisayar Mühendisliği bölümünden birincilikle mezun olduktan sonra Fransa'da Kriptoloji üzerine Fransa hükümeti tarafından verilen bursla yüksek lisans yaptım. Devamında ikinci kez sınava girerek Boğaziçi Matematik bölümünü de bitirdim. Yaklaşık 15 yıldır üniversite öğrencilerine dersler vermekteyim.
Geçme Garantisi
Derslerimize güveniyoruz. Olur da sınavlarına bizimle hazırlandığın halde dersten kalırsan, iade alabilirsin. Koşullar
Konular
Combinatorial Analysis
14 konu anlatımı
Basic Principles of Counting
Counting Examples
Permutations
Permutations Example
Groups and Circular Permutation Example
Identical Objects Example 1
Identical Objects Example 2
Identical Objects Example 3
Combination
n choose r
Committee Example 1
Committee Example 2
Ball Example 1
Ball Example 2
Axioms of Probability
11 konu anlatımı
Sample Space and Events
Probability
Axioms of Probability
Some Rules
Coin Example
Dice Example
Card Example 1
Card Example 2
Ball Example
Set Example
Birthday Example
Conditional Probability, Bayes' Rule and Independence
14 konu anlatımı
Conditioning Events
Total Probability Rule
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Bayes' Rule
Bayes' Rule Example 1
Bayes' Rule Example 2
Independence
Independence Example 1
Independence Example 2
Sample Midterm Part I
24 soru
Combinatorial Analysis 1
Combinatorial Analysis 2
Combinatorial Analysis 3
Combinatorial Analysis 4
Axioms of Probability 1
Axioms of Probability 2
Axioms of Probability 3
Axioms of Probability 4
Conditional Probability 1
Conditional Probability 2
Conditional Probability 3
Conditional Probability 4
Independence 1
Independence 2
Conditional Probability and Independence
Bayes' Rule 1
Bayes' Rule 2
Bayes' Rule 3
Bayes' Rule 4
Bayes' Rule 5
Bayes' Rule 6
Bayes' Rule 7
Bayes' Rule 8
Bayes' Rule 9
Discrete Random Variables
12 konu anlatımı
Random Variables
Probability Mass Function
PMF Example 1
PMF Example 2
Cumulative Distribution Function
CDF Example 1
Expected Value
Expected Value Example 1
Expected Value Example 2
Variance
Variance Example 1
Variance Example 2
Continuous Random Variables
9 konu anlatımı
Probability Density Function - PDF
Example 1
Cumulative Distribution Function - CDF
Example 2
Expected Value
Expected Value - Example 1
Expected Value - Example 2
Variance
Variance - Example 1
Sample Midterm Part II
17 soru
Discrete Random Variables 1
Discrete Random Variables 2
Discrete Random Variables 3
Discrete Random Variables 4
Discrete Random Variables 5
Discrete Random Variables 6
Discrete Random Variables 7
Discrete Random Variables 8
Discrete Random Variables 9
Discrete Random Variables 10
Discrete Random Variables 11
Continuous Random Variables 1
Continuous Random Variables 2
Continuous Random Variables 3
Continuous Random Variables 4
Continuous Random Variables 5
Continuous Random Variables 6
Discrete Uniform, Bernoulli and Binomial Distributions
12 konu anlatımı
Discrete Uniform Distribution Part 1
Discrete Uniform Distribution Part 2
Example 1
Example 2
Bernoulli Distribution Part 1
Bernoulli Distribution Part 2
Example 3
Example 4
Binomial Distribution Part 1
Binomial Distribution Part 2
Example 5
Example 6
Geometric, Hypergeometric, Negative Binomial and Poisson Distributions
16 konu anlatımı
Geometric Distribution Part 1
Geometric Distribution Part 2
Example 1
Example 2
Hypergeometric Distribution
Example 3
Negative Binomial Distribution Part 1
Negative Binomial Distribution Part 2
Example 4
Example 5
Poisson Distribution Part 1
Poisson Distribution Part 2
Example 7
Example 8
Poisson Approximation to Binomial Distribution
Example 9
Sample Midterm Part III
18 soru
Binomial Distribution 1
Binomial Distribution 2
Binomial Distribution 3
Binomial Distribution 4
Poisson distribution 1
Poisson Distribution 2
Poisson Distribution 3
Poisson distribution 4
Hypergeometric Distribution 1
Hypergeometric Distribution 2
Hypergeometric Distribution 3
Hypergeometric Distribution 4
Discrete Uniform Distribution
Negative Binomial Distribution 1
Negative Binomial - Geometric Distribution
Geometric Distribution 1
Geometric Distribution 2
Geometric Distribution 3
Special Continuous Probability Distributions
13 konu anlatımı
Uniform Distribution
Example 1
Example 2
Exponential Distribution
Example 3
Example 4
Memoryless Property
Example 5
Normal Distribution
Standard Normal Distribution
Reading Z Table - Option 1
Reading Z Table - Option 2
Example 6
Sample Exam Problems I
14 soru
Uniform Distribution 1
Uniform Distribution 2
Uniform Distribution 3
Exponential Distribution 1
Exponential Distribution 2
Exponential Distribution 3
Exponential Distribution 4
Normal Distribution 1
Normal Distribution 2
Normal Distribution 3
Normal Distribution 4
Normal Distribution 5
Normal Distribution 6
Normal Distribution 7
Discrete Joint Probability
10 konu anlatımı
Probability Mass Function
PMF Example
Marginal PMF and CDF
Expected Value
Variance
Expected Value and Variance Example
Conditional PMF and CDF
Conditional Expectation
End of Topic Example - Part I
End of Topic Example - Part II
Continuous Joint Probability
8 konu anlatımı
Introduction
Marginal PDF and CDF
Expected Value and Variance
Conditional PDF and CDF
Conditional Expectation
Example 1
Example 2
Example 3
Sample Exam Problems II
16 soru
Discrete Joint Probability 1
Discrete Joint Probability 2
Discrete Joint Probability 3
Discrete Joint Probability 4
Discrete Joint Probability 5
Continuous Joint Probability 1
Continuous Joint Probability 2
Continuous Joint Probability 3
Continuous Joint Probability 4
Continuous Joint Probability 5
Continuous Joint Probability 6
Continuous Joint Probability 7
Continuous Joint Probability 8
Continuous Joint Probability 9
Continuous Joint Probability 10
Continuous Joint Probability 11
Covariance and Correlation
8 konu anlatımı · 4 soru
Covariance
Example 1
Example 2
Example 3
Exam Like Question 1
Exam Like Question 2
Variance of Sums
Example 4
Correlation
Example 5
Exam Like Question 3
Exam Like Question 4
Moment Generating Functions
8 konu anlatımı
Introduction
Formulas
Properties
Example 1
Example 2
Example 3
Example 4
Example 5
Limit Theorems
13 konu anlatımı
Chebyshev's Inequality
Example 1
Sample Mean
Sample Variance
Example 2
Central Limit Theorem
Example 3
Example 4
Example 5
Example 6
Example 7
Normal Approximation to Binomial Distribution
Normal Approximation to Poisson Distribution
Sample Exam Problems III
24 soru
Covariance and Correlation 1
Covariance and Correlation 2
Covariance and Correlation 3
Covariance and Correlation 4
Covariance and Correlation 5
Covariance and Correlation 6
Covariance and Correlation 7
Covariance and Correlation 8
Covariance and Correlation 9
Chebyshev's Theorem 1
Chebyshev's Theorem 2
Central Limit Theorem 1
Central Limit Theorem 2
Central Limit Theorem 3
Central Limit Theorem 4
Central Limit Theorem 5
Central Limit Theorem 6
Central Limit Theorem 7
Normal Approximation to Binomial 1
Normal Approximation to Binomial 2
Moment Generating Function 1
Moment Generating Function 2
Moment Generating Function 3
Moment Generating Function 4