1. Onur DOĞAN

2. Law of the Unconscious Statistician

3. Example 1 ?

4. Variance

5. Example 2

6. Solution

7. Example 3

8. Solution

9. Theorem
Show it, for example 3

10. Properties of the Variance
Theorem

11. Properties of the Variance
Theorem

12. Moment

13. The Median

14. Example 4

15. Example 5

16. Example 6

17. Covariance and Correlation
In probability theory and statistics covariance is a measure of how much two random variables change together.

18. Example
LetX and Y be the test scores of two different exams,

19. Correlation

20. Utility

21. Utility

22. Utility

23. Example
For example, consider two gambles X and Y for which the gains have the following probability distributions:
By using a linear utility function
By using

24. Example

25. Example