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align:start position:0%
y is equal to 1 what is the probability
align:start position:0%
y is equal to 1 what is the probability
of this happening the probability that Y
align:start position:0%
of this happening the probability that Y
align:start position:0%
of this happening the probability that Y
is equal to 1 is the area under the PDF
align:start position:0%
is equal to 1 is the area under the PDF
align:start position:0%
is equal to 1 is the area under the PDF
in this range and since the height of
align:start position:0%
in this range and since the height of
align:start position:0%
in this range and since the height of
the PDF is 1/2 this probability is 1/2
align:start position:0%
the PDF is 1/2 this probability is 1/2
align:start position:0%
the PDF is 1/2 this probability is 1/2
the alternative scenario is that Y
align:start position:0%
the alternative scenario is that Y
align:start position:0%
the alternative scenario is that Y
happens to take the value of 2 in which
align:start position:0%
happens to take the value of 2 in which
align:start position:0%
happens to take the value of 2 in which
case X lives in this interval given that
align:start position:0%
case X lives in this interval given that
align:start position:0%
case X lives in this interval given that
X has fallen in this interval the
align:start position:0%
X has fallen in this interval the
align:start position:0%
X has fallen in this interval the
conditional expectation of X is the
align:start position:0%
conditional expectation of X is the
align:start position:0%
conditional expectation of X is the
midpoint of this interval and the
align:start position:0%
midpoint of this interval and the
align:start position:0%
midpoint of this interval and the
midpoint of this interval is at 2 and
align:start position:0%
midpoint of this interval is at 2 and
align:start position:0%
midpoint of this interval is at 2 and
this is an event that again happens with
align:start position:0%
this is an event that again happens with