ENGR 200 (Fall 23 Sec 02) • Probability and Random Variables For Engineers • Final
Derived Distributions
Functions of Random Variables
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Covariance and Correlation
Covariance
Covariance : Discrete Case
Covariance : Continuous Case 1
Covariance : Continuous Case 2
Exam Like Question 1
Variance of Sums
Example 1
Correlation
Example 2
Exam Like Question 2
Sample Final Part I
Covariance and Correlation 1
Covariance and Correlation 2
Covariance and Correlation 3
Covariance and Correlation 4
Derived Distributions 1
Derived Distributions 2
Derived Distributions 3
Derived Distributions 4
Derived Distributions 5
Derived Distributions 6
Derived Distributions 7
Derived Distributions 8
Derived Distributions 9
Review of Normal Distribution
Normal Distribution
Standard Normal Distribution
Reading Z Table
Example 1
Example 2
Exam Like Question 1
Exam Like Question 2
Central Limit Theorem
Sample Mean
Sample Variance
Example 1
Central Limit Theorem
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
Sample Final Part II
Normal Distribution 1
Normal Distribution 2
Normal Distribution 3
Normal Distribution 4
Normal Distribution 5
Central Limit Theorem 1
Central Limit Theorem 2
Central Limit Theorem 3
Central Limit Theorem 4 (Fall 2021)
Central Limit Theorem 5
Random Processes : Markov Chains
Markov Property & One Step Transition Matrix
N-Step Transition Matrix
Unconditional Probabilities
Classification of States
Steady State Probabilities 1
Steady State Probabilities 2
Expected Recurrence Time
First Passage Time
Expected First Passage Time
Absorbing State
Exam-like Question 1
Exam-like Question 2
Exam like Question 3
Exam-like Question 4
Bonus : Sample Final (Midterm Subjects)
Conditional Probability 1
Conditional Probability 2
Conditional Probability 3
Discrete Joint Distribution 1
Discrete Joint Distribution 2
Discrete Joint Distribution 3
Continuous Random Variables 1
Continuous Random Variables 2
Continuous Random Variables 3
Continuous Random Variables 4
Continuous Joint Probability 1
Continuous Joint Probability 2
Continuous Bayes' Rule
Exponential Distribution
Exponential Distribution 2
Eğitmen
MSCS
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