Statistics Graduate Level Quiz
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PROBABILITY FOUNDATIONS
Question 1
of 10
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PASSAGE
Let
Y
Y
Y
be standard normal, and suppose an integrable random variable
X
X
X
satisfies
E
[
X
∣
Y
]
=
Y
2
E[X\mid Y]=Y^2
E
[
X
∣
Y
]
=
Y
2
. Use
ϕ
(
1
)
=
0.2420
\phi(1)=0.2420
ϕ
(
1
)
=
0.2420
and
1
−
Φ
(
1
)
=
0.1587
1-\Phi(1)=0.1587
1
−
Φ
(
1
)
=
0.1587
.
What is the approximate value of
E
[
X
∣
∣
Y
∣
>
1
]
E[X\mid |Y|>1]
E
[
X
∣
∣
Y
∣
>
1
]
?
A
1.000
1.000
1.000
B
1.525
1.525
1.525
C
2.525
2.525
2.525
D
3.050
3.050
3.050
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