MATH 224 • Tüm Sınavlar • Probability and Statistics for Engineering
Bu ders ile MATH 224 sınavı için temel konseptleri çok iyi anlamakla kalmayıp sınava girmeye de tamamen hazır olacaksın.
Dersin içeriğinde yer alan Permutation, Combination, Binomial Theorem, Rules of Probability, Conditional Probability, Independence, Bayes Theorem, Random Variable, PDF, CDF, Expected Value, Variance, Binomial Distribution ve Poisson Distribution kavramlarını çok iyi öğreneceksin ve hepsine dair en az birer örnek soru göreceksin.
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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
20 soru
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
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
Special Discrete 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
Sample Midterm Problems II
28 soru
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
Discrete Random Variables 10
Discrete Random Variables 11
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
Hypergeometric Distribution 3
Hypergeometric Distribution 4
Negative Binomial Distribution 1
Negative Binomial - Geometric Distribution
Geometric Distribution 1
Geometric Distribution 2
Geometric Distribution 3
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
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
Multivariate Probability Distributions (Discrete)
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
Sample Midterm Problems III
25 soru
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
Normal Distribution 1
Normal Distribution 2
Normal Distribution 3
Normal Distribution 4
Normal Distribution 5
Normal Distribution 6
Normal Distribution 7
Discrete Joint Probability 1
Discrete Joint Probability 2
Discrete Joint Probability 3
Discrete Joint Probability 4
Discrete Joint Probability 5
Multivariate Probability Distributions (Continuous)
8 konu anlatımı
Introduction
Marginal PDF and CDF
Expected Value and Variance
Conditional PDF and CDF
Conditional Expectation
Example 1
Example 2
Example 3
Covariance and Correlation
8 konu anlatımı
Covariance
Example 1 (Discrete)
Example 2 (Continuous)
Example 3 (Continuous)
Variance of Sums
Example 4
Correlation
Example 5
Sample Exam Problems I
18 soru
Discrete Joint Probability 1
Discrete Joint Probability 2
Discrete Joint Probability 3
Discrete Joint Probability 4
Discrete Joint Probability 5
Continuous Joint Probability 1
Continuous Joint Probability 2
Continuous Joint Probability 3
Continuous Joint Probability 4
Continuous Joint Probability 5
Continuous Joint Probability 6
Continuous Joint Probability 7
Continuous Joint Probability 8
Covariance 1
Covariance 2
Covariance 3
Covariance 4
Covariance 5
Statistics & Sampling & Sampling Distributions
17 konu anlatımı · 2 soru
Sample Mean
Sample Variance
Reading Z Table Option 1 (Review)
Reading Z Table Option 2 (Review)
Central Limit Theorem
Example 1
Example 2
Example 3
Example 4
Example 5
Normal Approximation to Binomial Distribution
Normal Approximation to Poisson Distribution
Z Distribution
Example 1
Exam Like Question 1
T Distribution
Example 3
Example 4
Exam Like Question 2
Sample Exam Problems II
16 soru
Z Distribution 1
Z Distribution 2
Z Distribution 3
Z Distribution 4
Z Distribution 5
Z Distribution 6
Z Distribution 7
Z Distribution 8
Z Distribution 9
Z Distribution 10
Normal Approximation to Binomial Distribution 1
Normal Approximation to Binomial Distribution 2
Normal Approximation to Binomial Distribution 3
T Distribution 1
T Distribution 2
T Distribution 3
Point Estimation
4 konu anlatımı · 5 soru
Introduction
Unbiased Estimators 1
Unbiased Estimators 2
Exam like Question 1
Exam like Question 2
Exam like Question 3
Efficient Estimators
Exam like Question 4
Exam Like Question 5
Confidence Interval for Mean
7 konu anlatımı · 1 soru
Confidence Interval for Means(Sigma known)
Example 1
Example 2
Example 3
Exam Like Question 1
Confidence Interval for Means (sigma unknown)
Example 4
Example 5
Sample Exam Problems III
11 soru
Unbiased Estimators 1
Unbiased Estimators 2
Unbiased Estimators 3
Efficient Estimators 1
Efficient Estimators 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
Hypothesis Testing for Mean
6 konu anlatımı · 2 soru
Introduction
Tests for Mean
Example 1
Example 2
Example 3
Example 4
Exam like Question 1
Exam like Question 2
Simple Linear Regression
7 konu anlatımı
Regression Equations
Example 1
Example 2
Linear Regression
Example 3
Example 4
Example 5
Sample Exam Problems IV
14 soru
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
Testing for the Mean 10
Testing for the Mean 11
Simple Linear Regression 1
Simple Linear Regression 2
Simple Linear Regression 3