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case is 2 squared where these two stands |
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case is 2 squared where these two stands |
for the length of the interval divided |
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for the length of the interval divided |
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for the length of the interval divided |
by 12 which is the same as 4 over 12 so |
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by 12 which is the same as 4 over 12 so |
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by 12 which is the same as 4 over 12 so |
we now have a complete probabilistic |
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we now have a complete probabilistic |
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we now have a complete probabilistic |
description of the conditional variance |
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description of the conditional variance |
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description of the conditional variance |
as a random variable it's a random |
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as a random variable it's a random |
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as a random variable it's a random |
variable that with these probabilities |
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variable that with these probabilities |
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variable that with these probabilities |
takes these two particular values since |
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takes these two particular values since |
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takes these two particular values since |
we know the distribution of this random |
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we know the distribution of this random |
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we know the distribution of this random |
variable we can certainly calculate its |
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variable we can certainly calculate its |
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variable we can certainly calculate its |
expected value and the expected value is |
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expected value and the expected value is |
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expected value and the expected value is |
found as follows with probability 1/2 |
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found as follows with probability 1/2 |
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found as follows with probability 1/2 |
the random variable of interest takes |
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the random variable of interest takes |
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