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Math Help - Conditional and Total Variance

  1. #1
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    Conditional and Total Variance

    What is an intuitive explanation of why  \text{Var}(Y) = E(\text{Var}(Y|X)) + \text{Var}(E(Y|X)) ? In laymen terms, it is equal to the variance of the conditional expectation plus the expected value of the conditional variance.
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  2. #2
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    my lecturer told me that there is no simple intuitive explanation to this and it has a complex proof to it as well.

    Law of total variance - Wikipedia, the free encyclopedia

    Theres a proof in there
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  3. #3
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    my lecturer told me that there is no simple intuitive explanation to this and it has a complex proof to it as well.

    Law of total variance - Wikipedia, the free encyclopedia

    Theres a proof in there
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