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Week 3 Practice Questions | Prasnya
Q1
00:00
26 Oct 2025
Q1.
Let
X
X
X
and
Y
Y
Y
be two independent random variables with
E
[
X
]
=
10
E[X]=10
E
[
X
]
=
10
,
E
[
Y
]
=
15
E[Y]=15
E
[
Y
]
=
15
,
Var
(
X
)
=
4
\operatorname{Var}(X)=4
Var
(
X
)
=
4
and
Var
(
Y
)
=
9
\operatorname{Var}(Y)=9
Var
(
Y
)
=
9
. Find the value of
E
[
(
X
+
Y
)
2
]
E[(X+Y)^2]
E
[(
X
+
Y
)
2
]
.
Your Answer
Save
Check
Details
Q1
00:00
26 Oct 2025
Q1.
Let
X
X
X
and
Y
Y
Y
be two independent random variables with
E
[
X
]
=
10
E[X]=10
E
[
X
]
=
10
,
E
[
Y
]
=
15
E[Y]=15
E
[
Y
]
=
15
,
Var
(
X
)
=
4
\operatorname{Var}(X)=4
Var
(
X
)
=
4
and
Var
(
Y
)
=
9
\operatorname{Var}(Y)=9
Var
(
Y
)
=
9
. Find the value of
E
[
(
X
+
Y
)
2
]
E[(X+Y)^2]
E
[(
X
+
Y
)
2
]
.
Your Answer
Save
Check
Details