IE 201 • Tüm Sınavlar • Probability and Statistics I
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Eğitmenler
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.
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.
Konular
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
End of Topic Questions
4 soru
Axioms of Probability 1
Axioms of Probability 2
Axioms of Probability 3
Axioms of Probability 4
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
End of Topic Questions
18 soru
Conditional Probability and Independence 1
Conditional Probability and Independence 2
Conditional Probability and Independence 3
Conditional Probability and Independence 4
Conditional Probability and Independence 5
Conditional Probability and Independence 6
Conditional Probability and Independence 7
Conditional Probability and Independence 8
Conditional Probability and Independence 9
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
6 konu anlatımı
Random Variables
Probability Mass Function
PMF Example 1
PMF Example 2
Cumulative Distribution Function
CDF Example 1
End of Topic Questions
9 soru
Discrete Random Variable 1
Discrete Random Variable 2
Discrete Random Variable 3
Discrete Random Variable 4
Discrete Random Variable 5
Discrete Random Variables 6
Discrete Random Variables 7
Discrete Random Variables 8
Discrete Random Variables 9
Continuous Random Variables
4 konu anlatımı
Probability Density Function - PDF
Example 1
Cumulative Distribution Function - CDF
Example 2
End of Topic Questions
7 soru
Continuous Random Variables 1
Continuous Random Variables 2
Continuous Random Variables 3
Continuous Random Variables 4
Continuous Random Variables 5
Continuous Random Variables 6
Continuous Random Variables 7
Mathematical Expectation and Variances: Discrete
6 konu anlatımı
Expected Value
Expected Value Example 1
Expected Value Example 2
Variance
Variance Example 1
Variance Example 2
End of Topic Questions
6 soru
Discrete Random Variables 1 - Expected Value
Discrete Random Variables 2 - Expected Value
Discrete Random Variables 3 - Variance
Discrete Random Variables 4 - Expected Value
Discrete Random Variables 5 - Expected Value and Variance
Discrete Random Variables 6 - Expected Value
Mathematical Expectation and Variances: Continous
5 konu anlatımı
Expected Value
Expected Value - Example 1
Expected Value - Example 2
Variance
Variance - Example 1
End of Topic Questions
5 soru
Continuous Random Variable 1 - Expected Value
Continuous Random Variable 2 - Expected Value
Continuous Random Variable 3 - Variance
Continous Random Variable 4 - Expected Value
Continuous Random Variables 5 - Expected Value and Variance
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
End of Topic Questions
4 soru
Discrete Joint Probability 1
Discrete Joint Probability 2
Discrete Joint Probability 3 - Expected Value
Discrete Joint Probability 4 - Expected Value
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
End of Topic Questions
5 soru
Continuous Joint Probability 1
Continuous Joint Probability 2
Continuous Joint Probability 3
Continuous Joint Probability 4
Continuous Joint Probability 5 - Expected Value
Covariance and Correlation
8 konu anlatımı
Covariance
Example 1
Example 2
Example 3
Variance of Sums
Example 4
Correlation
Example 5
End of Topic Questions
3 soru
Covariance 1
Covariance 2
Correlation
Some Discrete Probability Distributions: Part 1
16 konu anlatımı
Bernoulli Distribution Part 1
Bernoulli Distribution Part 2
Example 1
Example 2
Binomial Distribution Part 1
Binomial Distribution Part 2
Example 3
Example 4
Poisson Distribution Part 1
Poisson Distribution Part 2
Example 5
Example 6
Poisson Approximation to Binomial Distribution
Example 7
Hypergeometric Distribution
Example 8
End of Topic Questions
14 soru
Binomial Distribution 1
Binomial Distribution 2
Binomial Distribution 3
Multinomial Distribution 1
Multinomial Distribution 2
Poisson distribution 1
Poisson Distribution 2
Poisson Distribution 3
Poisson distribution 4
Hypergeometric Distribution 1
Hypergeometric Distribution 2
Hypergeometric Distribution 3
Hypergeometric Distribution 4
Hypergeometric Distribution 5
Some Discrete Probability Distributions: Part 1
18 konu anlatımı
Bernoulli Distribution Part 1
Bernoulli Distribution Part 2
Example 1
Example 2
Binomial Distribution Part 1
Binomial Distribution Part 2
Example 3
Example 4
Poisson Distribution Part 1
Poisson Distribution Part 2
Example 5
Example 6
Poisson Approximation to Binomial Distribution
Example 7
Hypergeometric Distribution
Example 8
Normal Approximation to Binomial Distribution
Example 9
Some Discrete Probability Distributions: Part 2
12 konu anlatımı
Discrete Uniform Distribution Part 1
Discrete Uniform Distribution Part 2
Example 1
Example 2
Geometric Distribution Part 1
Geometric Distribution Part 2
Example 3
Example 4
Negative Binomial Distribution Part 1
Negative Binomial Distribution Part 2
Example 5
Example 6
End of Topic Questions
3 soru
Discrete Uniform Distribution
Negative Binomial Distribution 1
Negative Binomial - Geometric Distribution
Some 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
End of Topic Questions
11 soru
Continuous Uniform Distribution
Normal Distribution 1
Normal Distribution 2
Normal Distribution 3
Normal Distribution 4
Normal Distribution 5
Normal Distribution 6
Normal Distribution 7
Exponential Distribution 1
Exponential Distribution 2
Exponential Distribution 3
Functions of Random Variables
6 konu anlatımı
Distribution Function Techniques
Example 1
Example 2
Example 3
Example 4
Example 5
End of Topic Questions
6 soru
Distribution Function Technique 1
Distribution Function Technique 2
Distribution Function Technique 3
Distribution Function Technique 4
Distribution Function Technique 5
Distribution Function Technique 6