IE 220 • Tüm Sınavlar • Probability and Statistics for Engineers
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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
Descriptive Statistics
23 konu anlatımı
Introduction
Frequency Distribution
Example 1
Relative Frequency Distribution
Example 2
Cumulative Frequency Distribution
Example 3
Frequency Histogram
Measures of Central Tendancy
Example 4
Measures of Dispersion
Example 5
Example 6
Example 7
Skewness and Kurtosis
Stem and Leaf Diagram
Example 8
Example 9
Box and Whisker Plot
Example 10
Comparing Boxplots
Example 11
Example 12
Counting
10 konu anlatımı
Basic Principles of Counting
Counting Examples
Permutations
Permutations Example
Groups and Circular Permutation Example
Identical Objects Example
Combination
n choose r
Committee Example
Ball Example
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
🦄🦄 Exam Practice: Öğreniyorum 🦄🦄
8 soru
Descriptive Statistics
Axioms of Probability
Axioms of Probability
Conditional Probability
Conditional Probability
Bayes' Rule
Bayes' Rule
Bayes' Rule
🦄🦄 Exam Practice: Pekiştiriyorum 🦄🦄
11 soru
Descriptive Statistics
Axioms of Probability
Axioms of Probability
Axioms of Probability
Conditional Probability
Conditional Probability
Conditional Probability and Independence
Conditional Probability and Independence
Bayes' Rule
Bayes' Rule
Bayes' Rule
🦄🦄 Exam Practice: Sınav Provası 1 🦄🦄
4 soru
Descriptive Statistics
Axioms of Probability
Conditional Probability
Bayes' Rule
🦄🦄 Exam Practice: Sınav Provası 2 🦄🦄
4 soru
Descriptive Statistics
Axioms of Probability
Conditional Probability
Bayes' Rule
🦄🦄 Exam Practice: Sınav Provası 3 🦄🦄
4 soru
Descriptive Statistics
Axioms of Probability
Bayes' Rule
Bayes' Rule
Spring 2025 Midterm 1 Problems
4 soru
Descriptive Statistics
Axioms of Probability
Bayes' Rule
Bayes' Rule
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
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 Variable 6 - Expected Value
Discrete Random Variable 7 - Expected Value
Discrete Random Variable 8 - Variance
Discrete Random Variable 9 - Expected Value
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
End of Topic Questions
8 soru
Continuous Random Variable 1
Continuous Random Variable 2
Continuous Random Variable 3
Continuous Random Variable 4
Continuous Random Variable 5 - Expected Value
Continuous Random Variable 6 - Expected Value
Continuous Random Variable 7 - Variance
Continous Random Variable 8 - Expected Value
Special Discrete Probability Distributions
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
12 soru
Binomial Distribution 1
Binomial Distribution 2
Binomial Distribution 3
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
Special Continuous Probability Distributions
8 konu anlatımı
Continuous Uniform Distribution
Example 1
Example 2
Normal Distribution
Standard Normal Distribution
Reading Z Table - Option 1
Reading Z Table - Option 2
Example 3
End of Topic Questions
8 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
Sampling Distributions
11 konu anlatımı
Sample Mean
Sample Variance
Example 1
Central Limit Theorem
Example 2
Example 3
Example 4
Example 5
Example 6
Normal Approximation to Binomial Distribution
Normal Approximation to Poisson Distribution
End of Topic Questions
5 soru
Central Limit Theorem 1
Central Limit Theorem 2
Central Limit Theorem 3
Normal Approximation to Binomial 1
Normal Approximation to Binomial 2
Confidence Interval of Means (sigma known)
5 konu anlatımı
Table Values
Interval Formula
Example 1
Example 2
Example 3
Confidence Interval of Means (sigma unknown)
3 konu anlatımı
Interval Formula
Example 1
Example 2
Sample Final Problems II
5 soru
Question 1
Question 2
Question 3
Question 4
Question 5
Hypothesis Testing
5 konu anlatımı · 1 soru
What are we doing?
Terminology
Example 1
Example 2
Example 3
Exam Like Question 1
Testing for Means
6 konu anlatımı
Testing Procedure
How to Perform the Test for Means
Example 1
Example 2
Example 3
Example 4
Sample Final Problems III
15 soru
Hypothesis Testing Basics 1
Hypothesis Testing Basics 2
Hypothesis Testing Basics 3
Testing for the Mean 1
Testing for the Mean 2
Testing for the Mean 3
Testing for the Mean 4
Testing for the Mean 5
Testing for the Mean 6
Testing for the Mean 7
Testing for the Mean 8
Testing for the Mean 9
Testing for the Mean 10
Testing for the Mean 11
Testing for the Mean 12