Onur DOGAN

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• Onur DOGAN

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Law of the Unconscious Statistician
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Example 1

• ?

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Variance

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Example 2
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Solution
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Example 3
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Solution
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Theorem

• Show it, for example 3

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Properties of the Variance

• Theorem
• Theorem

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Properties of the Variance

• Theorem
• Theorem

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Moment
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The Median
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Example 4
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Example 5
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Example 6
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Covariance and Correlation

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

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Example

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

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Correlation
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Utility
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Utility
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Utility
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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

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Example
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Example