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it takes the value of 2 and so the
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it takes the value of 2 and so the
expected value of the conditional
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expected value of the conditional
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expected value of the conditional
expectation is 5 over 4 but the law of
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expectation is 5 over 4 but the law of
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expectation is 5 over 4 but the law of
iterated expectations tells us that this
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iterated expectations tells us that this
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iterated expectations tells us that this
quantity is also the same as the
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quantity is also the same as the
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quantity is also the same as the
expected value of x so we have managed
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expected value of x so we have managed
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expected value of x so we have managed
to find the expected value of x by the
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to find the expected value of x by the
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to find the expected value of x by the
divide-and-conquer method by considering
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divide-and-conquer method by considering
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divide-and-conquer method by considering
different cases let us now turn to the
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different cases let us now turn to the
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different cases let us now turn to the
conditional variance of x given Y once
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conditional variance of x given Y once
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conditional variance of x given Y once
more this quantity is a random variable
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more this quantity is a random variable
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more this quantity is a random variable
the value of that quantity depends on
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the value of that quantity depends on
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the value of that quantity depends on
what Y turns out to be and we have again
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what Y turns out to be and we have again