MATH 265 • Tüm Sınavlar • Probability and Statistics I
Her mühendisliğin temelinde var olan Olasılık konusunun uygulamalarını gördüğümüz bu derste: 1) Probability 2) Conditional Probability and Bayes' Rule 2) Counting 3) Discrete Random Variables 4) Continuous Random Variables konularını inceliyoruz.
Sınava yönelik sorular ile konuların en kritik soru tiplerini kolaydan zora çözüp sınavda sürprize yer bırakmıyoruz!
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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
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 Problems I
18 soru
Axioms of Probability 1
Axioms of Probability 2
Axioms of Probability 3
Axioms of Probability 4
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
Bayes' Rule 1
Bayes' Rule 2
Bayes' Rule 3
Bayes' Rule 4
Bayes' Rule 5
Bayes' Rule 6
Bayes' Rule 7
Discrete Random Variables
6 konu anlatımı
Random Variables
Probability Mass Function (PMF) for Discrete RV
PMF Example 1
PMF Example 2
Cumulative Distribution Function for Discrete RV
CDF Example
Continuous Random Variables
4 konu anlatımı
Probability Density Function (PDF) for Continuous RV
PDF Example
Cumulative Distribution Function (CDF) for Continuous RV
CDF Example
Sample Midterm Problems II
14 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
Discrete Random Variable 7
Continuous Random Variable 1
Continuous Random Variable 2
Continuous Random Variable 3
Continuous Random Variable 4
Continuous Random Variable 5
Continuous Random Variable 6
Continuous Random Variable 7
Joint Probability Distributions
7 konu anlatımı
Discrete Joint Random Variables
Discrete Joint RV Example
Marginal PMF and CDF for Discrete Joint RV
Conditional PMF and CDF for Discrete Joint RV
Continuous Joint Random Variables
Marginal PDF and CDF for Continuous Joint RV
Conditional PDF and CDF for Continuous Joint RV
Mathematical Expectation
22 konu anlatımı
Expected Value for Discrete RV
Example 1
Example 2
Variance for Discrete RV
Example 3
Example 4
Expected Value for Continuous RV
Example 5
Example 6
Variance for Continuous RV
Example 7
Expected Value for Discrete Joint RV
Variance for Discrete Joint RV
Example 8
Conditional Expectation for Discrete Joint RV
Example 9
Example 10
Expected Value and Variance for Continuous Joint RV
Conditional Expectation for Continuous Joint RV
Example 11
Example 12
Example 13
Covariance and Variance of Sum
6 konu anlatımı
Covariance
Example 1
Example 2
Example 3
Variance of Sums
Example 4
Functions of Random Variables
5 konu anlatımı
Continuous One Variable Case
Example 1
Example 2
Continuous Multivariable Case
Example 3
Sample Exam Problems I
25 soru
Discrete Random Variable 1- Expected Value
Discrete Random Variable 2 - Expected Value
Discrete Random Variable 3 - Variance
Discrete Random Variable 4- Expected Value
Discrete Random Variable 5 - Expected Value
Discrete Random Variable 6 - Expected Value and Variance
Continuous Random Variable 1 - Expected Value
Continuous Random Variable 2 - Expected Value
Continuous Random Variable 3 - Variance
Continuous Random Variable 4 - Expected Value
Continuous Random Variable 5 - Expected Value and Variance
Discrete Joint Distribution 1
Discrete Joint Distribution 2
Discrete Joint Distribution 3
Discrete Joint Distribution 4
Continuous Joint Distribution 1
Continuous Joint Distribution 2
Continuous Joint Distribution 3
Continuous Joint Distribution 4
Continuous Joint Distribution 5
Continuous Joint Distribution 6
Covariance 1
Covariance 2
Covariance 3
Covariance 4
Bernoulli, Binomial, Multinomial and Hypergeometric Distributions
12 konu anlatımı
Bernoulli Distribution Part 1
Bernoulli Distribution Part 2
Example 1
Binomial Distribution Part 1
Binomial Distribution Part 2
Example 2
Example 3
Multinomial Distribution
Example 4
Example 5
Hypergeometric Distribution
Example 6
Negative Binomial, Geometric, Poisson Distributions
14 konu anlatımı
Negative Binomial Distribution Part 1
Negative Binomial Distribution Part 2
Example 7
Example 8
Geometric Distribution Part 1
Geometric Distribution Part 2
Example 9
Example 10
Poisson Distribution Part 1
Poisson Distribution Part 2
Example 11
Example 12
Poisson Approximation to Binomial Distribution
Example 13
Sample Exam Problems II
19 soru
Binomial Distribution 1
Binomial Distribution 2
Binomial Distribution 3
Binomial Distribution 4
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
Negative Binomial Distribution 1
Negative Binomial - Geometric Distribution
Geometric Distribution 1
Geometric Distribution 2
Geometric Distribution 3
Normal Distribution
7 konu anlatımı
Introduction
Standard Normal Distribution
Reading Z Table - Option 1
Reading Z Table - Option 2
Example 1
Normal Approximation to Binomial Distribution
Example 2
Other Special Continuous Probability Distributions
12 konu anlatımı
Continuous Uniform Distribution
Example 1
Example 2
Exponential Distribution
Example 3
Example 4
Memoryless Property
Example 5
Gamma Distribution
Example 6
Relation of Gamma Distribution with Others
Weibull Distribution
Sample Exam Problems III
16 soru
Continuous Uniform Distribution 1
Continuous Uniform Distribution 2
Continuous 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
Normal Approximation to Binomial 1
Normal Approximation to Binomial 2
Fall 2022 Final Problems
6 soru
Axioms of Probability
Continuous Joint Probability
Continuous Joint Probability
Binomial Distribution
Normal Approximation to Binomial Distribution
Continuous Random Variables & Functions of Random Variables
Fall 2023 Final Problems
6 soru
Discrete Joint Probability
Functions of Random Variables
Geometric Distribution
Poisson Distribution
Normal Distribution
Normal Approximation to Binomial Distribution