MATH 250 • Tüm Sınavlar • Introduction to Probability
Olasılık kadar hayatın içinden bir konsepti üniversitede bulmak çok zor.
Tadını çıkararak öğrendiğin ve okuluna özel soru tipleriyle sınava hazırlandığın bu dersi kaçırma!
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
Counting Rules
11 konu anlatımı
Basic Principles of Counting
Counting Examples
Permutations
Permutations Example
Groups and Circular Permutation Example
Identical Objects Example 1
Identical Objects Example 2
Combination
n choose r
Committee Example 1
Ball Example 1
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, Independence, Bayes' Rule
13 konu anlatımı
Conditioning Events
Total Probability Rule
Example 1
Example 2
Example 3
Example 4
Example 5
Bayes' Rule
Bayes' Rule Example 1
Bayes' Rule Example 2
Independence
Independence Example 1
Independence Example 2
Sample Midterm Problems I
11 soru
Counting 1
Axioms of Probability 1
Axioms of Probability 2
Conditional Probability 1
Conditional Probability 2
Conditional Probability 3
Conditional Probability 4
Conditional Probability 5
Conditional Probability 6
Conditional Probability 7
Conditional Probability 8
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
Bernoulli, Binomial and Negative Binomial Distributions
12 konu anlatımı
Bernoulli Distribution - 1
Bernoulli Distribution - 2
Example 1
Example 2
Binomial Distribution - 1
Binomial Distribution - 2
Example 3
Example 4
Negative Binomial Distribution - 1
Negative Binomial Distribution - 2
Example 5
Example 6
Geometric, Hypergeometric and Poisson Distributions
12 konu anlatımı
Geometric Distribution - 1
Geometric Distribution - 2
Example 1
Example 2
Hypergeometric Distribution
Example 3
Poisson Distribution - 1
Poisson Distribution - 2
Example 4
Example 5
Poisson Approximation to Binomial Distribution
Example 6
Sample Midterm Problems II
27 soru
Discrete Random Variables 1
Discrete Random Variables 2
Discrete Random Variables 3
Discrete Random Variables 4
Binomial Distribution 1
Binomial Distribution 2
Binomial Distribution 3
Binomial Distribution 4
Binomial Distribution 5
Binomial Distribution 6
Binomial Distribution 7
Binomial Distribution 8
Binomial Distribution 9
Binomial Distribution 10
Negative Binomial Distribution 1
Negative Binomial Distribution 2
Negative Binomial Distribution 3
Negative Binomial Distribution 4
Negative Binomial Distribution 5
Negative Binomial Distribution 6
Geometric Distribution 1
Geometric Distribution 2
Geometric Distribution 3
Geometric Distribution 4
Geometric Distribution 5
Geometric Distribution 6
Geometric Distribution 7
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 Problems III
9 soru
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Question 8
Question 9
Special Continuous Probability Distributions
16 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
Gamma Distribution
Example 7
Relation of Gamma Distribution with Others
Exam Practice: Fall 2024 Exam
7 soru
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Exam Practice: Spring 2025 Exam
7 soru
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Continuous Uniform, Exponential and Normal Distribution
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
Gamma and Weibull Distributions
4 konu anlatımı
Gamma Distribution
Example
Relation of Gamma Distribution with Others
Weibull Distribution
Sample Final Problems I
13 soru
Continuous Uniform Distribution 1
Continuous Uniform Distribution 2
Continuous Uniform Distribution 3
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
Marginal, Conditinial Distributions and Conditional Expectations: Discrete Case
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
Marginal, Conditinial Distributions and Conditional Expectations: Continous Case
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 Final Problems II
9 soru
Discrete Joint Probability 1
Discrete Joint Probability 2
Discrete Joint Probability 3 - Expected Value
Discrete Joint Probability 4 - Expected Value
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
Sample Final Problems III
6 soru
Covariance 1
Covariance 2
Covariance 3
Covariance 4
Covariance 5
Correlation
Before Exam Questions (İZLEMEDEN GEÇME)
32 soru
İZLEMEDEN SORULARA BAŞLAMA
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Question 8
Question 9
Question 10
Question 11
Question 12
Question 13
Question 14
Question 15
Question 16
Question 17
Question 18
Question 19
Question 20
Question 21
Question 22
Question 23
Question 24
Question 25
Question 26
Question 27
Question 28
Question 29
Question 30
Question 31