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→Total Expection
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* <math>Var(X) = E[(X-E(X))^2] = E(X^2) - (E(X))^2</math> | * <math>Var(X) = E[(X-E(X))^2] = E(X^2) - (E(X))^2</math> | ||
===Total Expection=== | ===Total Expection=== | ||
<math>E(X) = E(E(X|Y))</math><br> | |||
Dr. Xu refers to this as the smooth property. | Dr. Xu refers to this as the smooth property. | ||
{{hidden | Proof | | {{hidden | Proof | | ||
<math> | <math> | ||
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</math> | </math> | ||
}} | }} | ||
===Total Variance=== | ===Total Variance=== | ||
This one is not used as often on tests as total expectation | This one is not used as often on tests as total expectation | ||