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align:start position:0% |
which X falls in this range and in that |
case we say that Y is equal to 2 let us |
align:start position:0% |
case we say that Y is equal to 2 let us |
align:start position:0% |
case we say that Y is equal to 2 let us |
now look at the conditional expectation |
align:start position:0% |
now look at the conditional expectation |
align:start position:0% |
now look at the conditional expectation |
of x given Y what is it well it is a |
align:start position:0% |
of x given Y what is it well it is a |
align:start position:0% |
of x given Y what is it well it is a |
random variable which can take different |
align:start position:0% |
random variable which can take different |
align:start position:0% |
random variable which can take different |
values depending on what Y is if Y |
align:start position:0% |
values depending on what Y is if Y |
align:start position:0% |
values depending on what Y is if Y |
happens to take a value of 1 then we are |
align:start position:0% |
happens to take a value of 1 then we are |
align:start position:0% |
happens to take a value of 1 then we are |
in this range and the conditional PDF of |
align:start position:0% |
in this range and the conditional PDF of |
align:start position:0% |
in this range and the conditional PDF of |
X given that Y falls in this range keeps |
align:start position:0% |
X given that Y falls in this range keeps |
align:start position:0% |
X given that Y falls in this range keeps |
the same shape its uniform and so it's |
align:start position:0% |
the same shape its uniform and so it's |
align:start position:0% |
the same shape its uniform and so it's |
mean is going to be equal to the |
align:start position:0% |
mean is going to be equal to the |
align:start position:0% |
mean is going to be equal to the |
midpoint of this interval which is 1/2 |
align:start position:0% |
midpoint of this interval which is 1/2 |
align:start position:0% |
midpoint of this interval which is 1/2 |
and this is something that happens when |
align:start position:0% |
and this is something that happens when |
align:start position:0% |
and this is something that happens when |
y is equal to 1 what is the probability |
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