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subtract from this the mean of the
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subtract from this the mean of the
conditional expectation which is 5 over
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conditional expectation which is 5 over
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conditional expectation which is 5 over
4 and we take the square of that so this
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4 and we take the square of that so this
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4 and we take the square of that so this
term is the square of the deviation of
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term is the square of the deviation of
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term is the square of the deviation of
the value of the random variable of 1/2
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the value of the random variable of 1/2
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the value of the random variable of 1/2
from the mean of that random variable
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from the mean of that random variable
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from the mean of that random variable
and we get a similar term if Y happens
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and we get a similar term if Y happens
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and we get a similar term if Y happens
to be equal to 2 with probability 1/2
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to be equal to 2 with probability 1/2
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to be equal to 2 with probability 1/2
our random variable takes a value of 2
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our random variable takes a value of 2
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our random variable takes a value of 2
which is so much away from the mean of
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which is so much away from the mean of
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which is so much away from the mean of
the random variable and then we square
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the random variable and then we square
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the random variable and then we square
that quantity if we carry out the
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that quantity if we carry out the
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that quantity if we carry out the
algebra the answer turns out to be 9
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algebra the answer turns out to be 9