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Question 57 - Week 5 Practice | Prasnya
Q57
00:00
6 Aug 2023
Q57.
Find the joint density function
f
X
Y
(
x
,
y
)
f_{XY}(x,y)
f
X
Y
(
x
,
y
)
.
@passage
A
f
X
Y
(
x
,
y
)
=
{
2
,
1
<
x
<
2
,
1
<
y
<
3
;
0
,
otherwise
}
f_{XY}(x,y)=\{2,\ 1<x<2,\ 1<y<3;\ 0,\ \text{otherwise}\}
f
X
Y
(
x
,
y
)
=
{
2
,
1
<
x
<
2
,
1
<
y
<
3
;
0
,
otherwise
}
B
f
X
Y
(
x
,
y
)
=
{
1
/
2
,
1
<
x
<
2
,
1
<
y
<
3
;
0
,
otherwise
}
f_{XY}(x,y)=\{1/2,\ 1<x<2,\ 1<y<3;\ 0,\ \text{otherwise}\}
f
X
Y
(
x
,
y
)
=
{
1/2
,
1
<
x
<
2
,
1
<
y
<
3
;
0
,
otherwise
}
C
f
X
Y
(
x
,
y
)
=
{
0
,
1
<
x
<
2
,
1
<
y
<
3
;
0
,
otherwise
}
f_{XY}(x,y)=\{0,\ 1<x<2,\ 1<y<3;\ 0,\ \text{otherwise}\}
f
X
Y
(
x
,
y
)
=
{
0
,
1
<
x
<
2
,
1
<
y
<
3
;
0
,
otherwise
}
D
f
X
Y
(
x
,
y
)
=
{
1
/
6
,
1
<
x
<
2
,
1
<
y
<
3
;
0
,
otherwise
}
f_{XY}(x,y)=\{1/6,\ 1<x<2,\ 1<y<3;\ 0,\ \text{otherwise}\}
f
X
Y
(
x
,
y
)
=
{
1/6
,
1
<
x
<
2
,
1
<
y
<
3
;
0
,
otherwise
}
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Q57
00:00
6 Aug 2023
Q57.
Find the joint density function
f
X
Y
(
x
,
y
)
f_{XY}(x,y)
f
X
Y
(
x
,
y
)
.
@passage
A
f
X
Y
(
x
,
y
)
=
{
2
,
1
<
x
<
2
,
1
<
y
<
3
;
0
,
otherwise
}
f_{XY}(x,y)=\{2,\ 1<x<2,\ 1<y<3;\ 0,\ \text{otherwise}\}
f
X
Y
(
x
,
y
)
=
{
2
,
1
<
x
<
2
,
1
<
y
<
3
;
0
,
otherwise
}
B
f
X
Y
(
x
,
y
)
=
{
1
/
2
,
1
<
x
<
2
,
1
<
y
<
3
;
0
,
otherwise
}
f_{XY}(x,y)=\{1/2,\ 1<x<2,\ 1<y<3;\ 0,\ \text{otherwise}\}
f
X
Y
(
x
,
y
)
=
{
1/2
,
1
<
x
<
2
,
1
<
y
<
3
;
0
,
otherwise
}
C
f
X
Y
(
x
,
y
)
=
{
0
,
1
<
x
<
2
,
1
<
y
<
3
;
0
,
otherwise
}
f_{XY}(x,y)=\{0,\ 1<x<2,\ 1<y<3;\ 0,\ \text{otherwise}\}
f
X
Y
(
x
,
y
)
=
{
0
,
1
<
x
<
2
,
1
<
y
<
3
;
0
,
otherwise
}
D
f
X
Y
(
x
,
y
)
=
{
1
/
6
,
1
<
x
<
2
,
1
<
y
<
3
;
0
,
otherwise
}
f_{XY}(x,y)=\{1/6,\ 1<x<2,\ 1<y<3;\ 0,\ \text{otherwise}\}
f
X
Y
(
x
,
y
)
=
{
1/6
,
1
<
x
<
2
,
1
<
y
<
3
;
0
,
otherwise
}
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