MATH 2205 • Tüm Sınavlar • Applied Probability and Statistics for Engineers
Her mühendisliğin temelinde var olan Olasılık ve İstatistik konularının uygulamalarını gördüğümüz bu derste 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
Introduction to 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
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
29 soru
Introduction to Statistics 1
Introduction to Statistics 2
Introduction to Statistics 3
Introduction to Statistics 4
Introduction to Statistics 5
Introduction to Statistics 6
Introduction to Statistics 7
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
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) 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 & Variance
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 and Correlation Coefficient
8 konu anlatımı
Covariance
Example 1
Example 2
Example 3
Variance of Sums
Example 4
Correlation Coefficient
Example 5
Sample Midterm Problems III
22 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
Continuous Joint Distribution 1
Continuous Joint Distribution 2
Continuous Joint Distribution 3
Continuous Joint Distribution 4
Covariance 1
Covariance 2
Covariance 3
Correlation Coefficient
Some Discrete Probability Distributions
12 konu anlatımı
Chebyshev's Inequality
Example
Bernoulli Distribution Part 1
Bernoulli Distribution Part 2
Example 1
Example 2
Binomial Distribution Part 1
Binomial Distribution Part 2
Example 3
Example 4
Hypergeometric Distribution
Example 5
Some Continuous Probability Distributions
8 konu anlatımı
Uniform Distribution
Example 1
Example 2
Normal Distribution
Standard Normal Distribution
Reading Z Table - Option 1
Reading Z Table - Option 2
Example 3
Sample Midterm Problems IV
19 soru
Chebyshev's Theorem
Binomial Distribution 1
Binomial Distribution 2
Binomial Distribution 3
Binomial Distribution 4
Hypergeometric Distribution 1
Hypergeometric Distribution 2
Hypergeometric Distribution 3
Hypergeometric Distribution 4
Uniform Distribution 1
Uniform Distribution 2
Uniform Distribution 3
Normal Distribution 1
Normal Distribution 2
Normal Distribution 3
Normal Distribution 4
Normal Distribution 5
Normal Distribution 6
Normal Distribution 7
Sampling Distributions
9 konu anlatımı
Sample Mean
Sample Variance
Example 1
Central Limit Theorem
Example 2
Example 3
Example 4
Example 5
Example 6
One Sample Estimation
8 konu anlatımı
Unbiased Estimators
Example
Efficient Estimators
Example
Interval Estimation for Means
Example 1
Example 2
Example 3
Sample Final Problems I
13 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
Point Estimation 1
Point Estimation 2
Point Estimation 3
Interval Estimation of Mean 1
Interval Estimation of Mean 2
Interval Estimation of Mean 3
Interval Estimation of Mean 4
Hypothesis Testing
5 konu anlatımı · 1 soru
What are we doing?
Terminology
Example 1
Example 2
Example 3
Exam Like Question 1
Testing for the 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
Simple Linear Regression
15 konu anlatımı
Regression Equations
Example 1
Example 2
Linear Regression
Example 3
Example 4
Example 5
Example 6
Errors in SLR
Example 7
Some Important Formulas
Slope Paremeter
Test for Slope Parameter
Confidence Interval for Slope Parameter
Example 8
Sample Final Problems II
15 soru
Hypothesis Testing Basics 1
Hypothesis Testing Basics 2
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
Simple Linear Regression 1
Simple Linear Regression 2
Simple Linear Regression 3
Simple Linear Regression 4
Simple Linear Regression 5
Simple Linear Regression 6
Simple Linear Regression 7