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our understanding of the conditional |
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our understanding of the conditional |
expectation and the conditional variance |
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expectation and the conditional variance |
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expectation and the conditional variance |
consider a random variable X which is |
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consider a random variable X which is |
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consider a random variable X which is |
continuous and is described by a PDF of |
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continuous and is described by a PDF of |
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continuous and is described by a PDF of |
this form whenever we have a PDF that |
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this form whenever we have a PDF that |
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this form whenever we have a PDF that |
seems to consist of different pieces |
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seems to consist of different pieces |
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seems to consist of different pieces |
it's always useful to divide and conquer |
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it's always useful to divide and conquer |
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it's always useful to divide and conquer |
and the way we will do that will be to |
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and the way we will do that will be to |
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and the way we will do that will be to |
consider two different scenarios that X |
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consider two different scenarios that X |
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consider two different scenarios that X |
falls in this range and in that scenario |
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falls in this range and in that scenario |
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falls in this range and in that scenario |
we say that the certain random variable |
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we say that the certain random variable |
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we say that the certain random variable |
Y is equal to 1 and another scenario in |
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Y is equal to 1 and another scenario in |
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Y is equal to 1 and another scenario in |
which X falls in this range and in that |
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which X falls in this range and in that |
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