PROBABILITY & STATISTICS • Applied Statistics and Probability for Engineers - Montgomery & Runger • Midterm
Her mühendisliğin temelinde var olan Olasılık ve İstatistik konularının uygulamalarını gördüğümüz bu derste: 1) Probability 2) Discrete Random Variables 3) Discrete Probability Distributions 4) Continuous Random Variables 5) Continuous Probability Distributions 6) Joint Probability Distributions konularını inceliyoruz.
Sınava yönelik sorular ile konuların en kritik soru tiplerini kolaydan zora çözüp sınavda sürprize yer bırakmıyoruz!
Konular
Probability
Axioms of Probability
Problem Set 1
Counting
Example 1
Combination & Permutation
Conditional Probability
Problem Set 2
Example 2
Example 3
Total Probability Rule
Bayes Rule
Example 4
Example 5
Independence
Example 6
Example 7
Discrete Random Variables and Probability Distributions
Probability Mass Function
Cumulative Distribution Functions
Joint Probability Distributions: Continuous
Mean of a Random Variable
Example 1
Variance of a Random Variable
Example 2
Bernoulli Distribution Part 1
Bernoulli Distribution Part 2
Binomial Distribution Part 1
Binomial Distribution Part 2
Poisson Distribution Part 1
Poisson Distribution Part 2
Poisson Approximation to Binomial Distribution
Geometric Distribution Part 1
Geometric Distribution Part 2
Hypergeometric Distribution
Negative Binomial Distribution Part 1
Negative Binomial Distribution Part 2
Sample Midterm Problems I
Probability 1
Probability 2
Probability 3
Probability 4
Probability 5
Probability 6
Discrete RV and Probability Distributions 1
Discrete RV and Probability Distributions 2
Discrete RV and Probability Distributions 3
Discrete RV and Probability Distributions 4
Discrete RV and Probability Distributions 5
Discrete RV and Probability Distributions 6
Discrete RV and Probability Distributions 7
Discrete RV and Probability Distributions 8
Discrete RV and Probability Distributions 9
Discrete RV and Probability Distributions 10
Discrete RV and Probability Distributions 11
Discrete RV and Probability Distributions 12
Discrete RV and Probability Distributions 13
Continuous Random Variables and Probability Distributions
Probability Density Functions
Cumulative Distribution Functions
Finding PDF from CDF
Expected Value and Variance of a Random Variable
Example 1
Example 2
Expected Value and Variance of Sums
Uniform Distribution
Example 3
Exponential Distribution
Memoryless Property
Example 4
Normal Distribution
Standard Normal Distribution
Reading Z Table
Example 5
Example 6
Joint Probability Distributions
Discrete Joint Probability
Conditional Probability Mass Function
Continuous Joint Probability
Conditional Probability Density Function
Covariance
Example 5
Example 6
Variance-Covariance of Sums of Random Variables
Example 9
Moment Generating Functions: Discrete
Example 10
Continuous Case
Example 11
Sample Midterm Problems II
Continuous RV and Probability Distributions 1
Continuous RV and Probability Distributions 2
Continuous RV and Probability Distributions 3
Continuous RV and Probability Distributions 4
Continuous RV and Probability Distributions 5
Continuous RV and Probability Distributions 6
Continuous RV and Probability Distributions 7
Continuous RV and Probability Distributions 8
Continuous RV and Probability Distributions 9
Continuous RV and Probability Distributions 10
Joint Probability Distributions 1
Joint Probability Distributions 2
Joint Probability Distributions 3
Joint Probability Distributions 4
Joint Probability Distributions 5
Joint Probability Distributions 6
Joint Probability Distributions 7
Joint Probability Distributions 8
Joint Probability Distributions 9
Eğitmenler
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.
MSCS
2011 yılında Endüstri Mühendisliği okumak için başladığım Sabancı Üniversitesi'nden 2018 yılında Bilgisayar Mühendisi olarak mezun oldum. Şu anda UALR'da Information Science doktora eğitimimi sürdürüyorum. 7 yıldır Altun ismiyle başta Sabancı Üniversitesi olmak üzere çeşitli okullarda Endüstri ve Bilgisayar Mühendisliği alanlarında ders vermekteyim.
Konular
990 TL
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