Onur DOĞAN

Law of the Unconscious Statistician

Example 1 ?

Variance

Example 2

Solution

Example 3

Solution

Theorem Show it, for example 3

Properties of the Variance Theorem

Properties of the Variance Theorem

Moment

The Median

Example 4

Example 5

Example 6

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

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

Correlation

Utility

Utility

Utility

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

Example

Example