MATH 2260 • Tüm Sınavlar • Probability and Statistics for Engineering
Her mühendisliğin temelinde var olan Olasılık ve İstatistik konularının uygulamalarını gördüğümüz bu derste: 1) Probability 2) Conditional Probability and Bayes' Rule 3) Discrete Random Variables 4) Continuous Random Variables 5) Joint Probability Distributions konularını inceliyoruz.
Sınava yönelik sorular ile konuların en kritik soru tiplerini kolaydan zora çözüp sınavda sürprize yer bırakmıyoruz!
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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.
Geçme Garantisi
Derslerimize güveniyoruz. Olur da sınavlarına bizimle hazırlandığın halde dersten kalırsan, iade alabilirsin. Koşullar
Konular
Descriptive Statistics
12 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
Probability Rules
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
23 soru
Descriptive Statistics 1
Descriptive Statistics 2
Descriptive Statistics 3
Descriptive Statistics 4
Axioms of Probability 1
Axioms of Probability 2
Axioms of Probability 3
Axioms of Probability 4
Axioms of Probability 5
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
Special Discrete Probability Distributions
26 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 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
Discrete Joint Probability
4 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
Sample Midterm Problems II
25 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
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
Negative Binomial Distribution 1
Negative Binomial - Geometric Distribution
Geometric Distribution 1
Geometric Distribution 2
Discrete Joint Distribution 1
Discrete Joint Distribution 2
Discrete Joint Distribution 3
Discrete Joint Distribution 4
Continuous Random Variables
4 konu anlatımı
Probability Density Function (PDF) for Continuous RV
PDF Example
Cumulative Distribution Function (CDF) for Continuous RV
CDF Example
Special Continuous Probability Distributions
13 konu anlatımı
Continuous 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
Continuous Joint Probability
3 konu anlatımı
Continuous Joint Random Variables
Marginal PDF and CDF for Continuous Joint RV
Conditional PDF and CDF for Continuous Joint RV
Mathematical Expectation
15 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
Expected Value and Variance for Continuous Joint RV
Covariance
6 konu anlatımı
Covariance
Example 1
Example 2
Example 3
Variance of Sums
Example 4
Sample Exam Problems I
41 soru
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
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 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
Continuous Joint Distribution 1
Continuous Joint Distribution 2
Continuous Joint Distribution 3
Continuous Joint Distribution 4
Continuous Joint Distribution 5
Covariance 1
Covariance 2
Covariance 3
Covariance 4
Random Sampling - Central Limit Theorem
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
Confidence Interval for Population Mean
9 konu anlatımı · 1 soru
Introduction
Table Values (SADECE Z ve T KISIMLARI DAHİL)
Confidence Interval for Means(Sigma known)
Example 1
Example 2
Example 3
Exam-like Question 1
Confidence Interval for Means (sigma unknown)
Example 1
Example 2
Hypothesis Testing for Population Mean
6 konu anlatımı · 2 soru
Testing Procedure
How to Perform the Test for Means
Example 1
Example 2
Example 3
Example 4
Exam like Question 1
Exam like Question 2
Sample Exam Problems II
24 soru
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
C.I. of Mean (Known Variance) 1
C.I. of Mean (Known Variance) 2
C.I. of Mean (Known Variance) 3
C.I. of Mean (Unknown Variance) 1
C.I. of Mean (Unknown Variance) 2
C.I. of Mean (Unknown Variance) 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