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what Y turns out to be and we have again
the same two possibilities Y could be
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the same two possibilities Y could be
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the same two possibilities Y could be
equal to 1 or Y could be equal to 2 and
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equal to 1 or Y could be equal to 2 and
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equal to 1 or Y could be equal to 2 and
these possibilities happen with equal
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these possibilities happen with equal
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these possibilities happen with equal
probabilities if Y is equal to 1
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probabilities if Y is equal to 1
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probabilities if Y is equal to 1
conditional on that event X has a
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conditional on that event X has a
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conditional on that event X has a
uniform PDF on this range on an interval
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uniform PDF on this range on an interval
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uniform PDF on this range on an interval
of length 1 and we know that the
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of length 1 and we know that the
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of length 1 and we know that the
variance of a uniform PDF on an interval
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variance of a uniform PDF on an interval
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variance of a uniform PDF on an interval
of length 1 is 1 over 12 if on the other
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of length 1 is 1 over 12 if on the other
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of length 1 is 1 over 12 if on the other
hand Y takes the value of 2 then X is a
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hand Y takes the value of 2 then X is a
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hand Y takes the value of 2 then X is a
uniform random variable on an interval
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uniform random variable on an interval
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uniform random variable on an interval
of length 2 and the variance in this
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of length 2 and the variance in this
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of length 2 and the variance in this
case is 2 squared where these two stands