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the random variable of interest takes |
the value of 1 over 12 and with |
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the value of 1 over 12 and with |
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the value of 1 over 12 and with |
probability 1/2 |
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probability 1/2 |
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probability 1/2 |
this random variable takes a value of 4 |
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this random variable takes a value of 4 |
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this random variable takes a value of 4 |
over 12 and this number happens to be 5 |
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over 12 and this number happens to be 5 |
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over 12 and this number happens to be 5 |
over 24 finally let us calculate the |
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over 24 finally let us calculate the |
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over 24 finally let us calculate the |
variance of the conditional expectation |
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variance of the conditional expectation |
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variance of the conditional expectation |
since we have complete information about |
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since we have complete information about |
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since we have complete information about |
the distribution of the conditional |
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the distribution of the conditional |
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the distribution of the conditional |
expectation calculating its variance is |
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expectation calculating its variance is |
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expectation calculating its variance is |
not going to be difficult so what is it |
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not going to be difficult so what is it |
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not going to be difficult so what is it |
with probability 1/2 the conditional |
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with probability 1/2 the conditional |
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with probability 1/2 the conditional |
expectation takes a value of 1/2 we |
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expectation takes a value of 1/2 we |
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expectation takes a value of 1/2 we |
subtract from this the mean of the |
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