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Chapter 7: Expectations (40 videos)

7.1: The Expectation of Random Variable
1. Applications of Expectation
2. Expectation
3. How Probability Helps Expectations
4. The Expectation of a Discrete Distribution
5. Problem1-The Expectation of a Discrete Distribution
6. Problem2-The Expectation of a Discrete Distribution
7. More on Problem2-The Expectation of a Discrete Distribution
8. Introducing Point Estimation
9. Prob-Introducing Point Estimation
10. The Expectation of a Function
11. Laws of Expectation
12. More on Laws of Expectation
13. Addition and Subtraction Laws of Expectation
14. Multiplication Law of Expectation
15. Problem-Laws of Expectation
 
7.2: Properties of Variances
1. Properties of Variance1
2. Properties of Variance2
3. Properties of Variance3
4. Properties of Variance4
5. Problem1 - Properties of Variance
6. Problem2 - Properties of Variance
 
7.3: Sum or Differences of Variances
1. Variance of the Sum or Difference of Two Random Variables1
2. Variance of the Sum or Difference of Two Random Variables2
3. Variance of the Sum or Difference of Two Random Variables3
4. Variance of the Sum or Difference of Two Random Variables4
5. Problem-Variance of the Sum or Difference of Two Random Variables
 
7.4: The Mean and the Median
1. The Median and Mode of Discrete Distribution
 
7.5: Covariance and Correlation
1. Covariance of Two Random Variables
2. Correlation
3. Problem - Covariance of Two Random Variables
4. Correlation Coefficient of Random Variables
5. Problem1 - Correlation Coefficient of Random Variables
6. Problem2 - Correlation Coefficient of Random Variables
7. Problem-Correlation Coefficient for Sample Data
8. Affect of Change of Origin on Correlation Coefficient
9. More on Affect of Change of Origin on Correlation Coefficient
10. Affect of Change of Scale on Correlation Coefficient
11. Affect of Change of Scale and Origin on Correlation Coefficient
 
7.6: Conditional Expectation
1. Conditional Expectation
 
7.7: Utility
1. Utility Functions
 

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