STAT 301 • Tüm Sınavlar • Statistics and Probability Theory
Mühendisliğin pek çok dersinde karşına çıkacak Olasılık ve İstatistik kavramlarını tanımak için eşsiz bir fırsat karşında! Bu derste Olasılık kavramını hayatın içerisinden çıkardığımızı ve yavaş yavaş bir bilim haline getirdiğimize tanıklık edeceksin.
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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
Permutation & Combination & Counting Techniques
14 konu anlatımı
Basic Principles of Counting
Counting Examples
Permutations
Permutations Example
Groups and Circular Permutation Example
Identical Objects Example 1
Identical Objects Example 2
Identical Objects Example 3
Combination
n choose r
Committee Example 1
Committee Example 2
Ball Example 1
Ball Example 2
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
8 konu anlatımı
Conditioning Events
Total Probability Rule
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Bayes' Rule
3 konu anlatımı
Bayes' Rule
Bayes' Rule Example 1
Bayes' Rule Example 2
Independence
3 konu anlatımı
Independence
Independence Example 1
Independence Example 2
Discrete Random Variables
6 konu anlatımı
Random Variables
Probability Mass Function
PMF Example 1
PMF Example 2
Cumulative Distribution Function
CDF Example 1
Expected Value and Variance for Discrete Random Variables
6 konu anlatımı
Expected Value
Expected Value Example 1
Expected Value Example 2
Variance
Variance Example 1
Variance Example 2
Special Discrete Probability Distributions
24 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
Geometric Distribution Part 1
Geometric Distribution Part 2
Example 9
Example 10
Negative Binomial Distribution Part 1
Negative Binomial Distribution Part 2
Example 11
Example 12
Continuous Random Variables
4 konu anlatımı
Probability Density Function - PDF
Example 1
Cumulative Distribution Function - CDF
Example 2
Expected Value and Variance for Continuous Random Variables
5 konu anlatımı
Expected Value
Expected Value - Example 1
Expected Value - Example 2
Variance
Variance - Example 1
Special Continuous Probability Distributions
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
Sample Midterm Problems
72 soru
Counting 1
Counting 2
Counting 3
Counting 4
Binomial Theorem
Axioms of Probability 1
Axioms of Probability 2
Axioms of Probability 3
Axioms of Probability 4
Conditional Probability 1
Conditional Probability 2
Conditional Probability 3
Conditional Probability 4
Independence 1
Independence 2
Conditional Probability and Independence
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 1
Discrete Random Variables 2
Discrete Random Variables 3
Discrete Random Variables 4
Discrete Random Variables 5
Discrete Random Variables 6
Discrete Random Variables 7
Discrete Random Variables 8
Discrete Random Variables 9
Binomial Distribution 1
Binomial Distribution 2
Binomial Distribution 3
Binomial Distribution 4
Binomial Distribution 5
Binomial Distribution 6
Poisson Distribution 1
Poisson Distribution 2
Poisson Distribution 3
Poisson distribution 4
Poisson Approximation to Binomial 1
Hypergeometric Distribution 1
Hypergeometric Distribution 2
Negative Binomial Distribution 1
Negative Binomial - Geometric Distribution
Geometric Distribution 1
Geometric Distribution 2
Continuous Random Variables 1
Continuous Random Variables 2
Continuous Random Variables 3
Continuous Random Variables 4
Continuous Random Variables 5
Continuous Random Variables 6
Uniform Distribution 1
Uniform Distribution 2
Uniform Distribution 3
Exponential Distribution 1
Exponential Distribution 2
Exponential Distribution 3
Exponential Distribution 4
Exponential Distribution 5
Normal Distribution 1
Normal Distribution 2
Normal Distribution 3
Normal Distribution 4
Normal Distribution 5
Normal Distribution 6
Normal Distribution 7
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
Central Limit Theorem & Sampling Distributions
7 konu anlatımı
Sample Mean
Sample Variance
Central Limit Theorem
Z Distribution
Chi Square Distribution
T Distribution
F Distribution
Interval Estimation
4 konu anlatımı
Interval Estimation
Table Values
Estimating Mean when Sigma is Known
Estimating Mean when Sigma is Unknown
Hypothesis Testing
18 konu anlatımı
General Procedure
Tests Concerning a Single Mean
Example 1
Example 2
Tests on Two Means
Example 3
Example 4
Test on a Single Proportion
Example 5
Tests on Two Proportions
Test on a Single Variance
Example 6
Tests for Ratio of Two Variances
Example 7
Contingency Table Test
Example 8
Paired T-test
Example 9
Linear Regression and Correlation
10 konu anlatımı
Regression Equations
Least Squares and the Fitted Model
Example 1
Example 2
Coefficient of Determination
Properties of Least Squares Estimators
Example 3
Partition of Total Variability and Estimation of Sigma
Slope Paremeter
Test for Slope Parameter
ANOVA
6 konu anlatımı
Introduction
Anova Test Procedure
Decision Step of the Test
Example 1
Example 2
Example 3
Sample Final Problems
37 soru
Descriptive Statistics 1
Descriptive Statistics 2
Descriptive Statistics 3
Central Limit Theorem 1
Central Limit Theorem 2
Estimating the Mean (Known Variance) 1
Estimating the Mean (Known Variance) 2
Estimating the Mean (Known Variance) 3
Estimating the Mean (Unknown Variance) 1
Estimating the Mean (Unknown Variance) 2
Estimating the Mean (Unknown Variance) 3
Estimating the Difference Between Means (Known Variances) 1
Estimating the Difference Between Means (Known Variances) 2
Estimating the Difference Between Means (Unknown Variances) 2
Estimating the Difference Between Means (Unknown Variances) 1
Tests Concerning a Single Mean 1 (sigma known)
Tests Concerning a Single Mean 2 (sigma known)
Tests Concerning a Single Mean 3 (sigma known)
Tests Concerning a Single Mean 4 (sigma unknown)
Tests Concerning a Single Mean 5 (sigma unknown)
Tests Concerning a Single Mean 6 (sigma unknown)
Tests on a Single Proportion 1
Tests on a Single Proportion 2
Tests on the Variance 1
Tests on the Variance 2
Tests for Two Means 1
Tests for Two Means 2
Tests for Two Means 3
Tests on Two Proportions
Testing for Ratio of Variances 1
Testing for Ratio of Variances 2
Paired t Test
Contingency Table Test 1
Contingency Table Test 2
Simple Linear Regression 1
Simple Linear Regression 2
Simple Linear Regression 3