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Question 31 - Week 5 Practice | Prasnya
Q31
00:00
1 Dec 2024
Q31.
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
,
0
<
x
<
2
,
0
<
y
<
2
;
0
otherwise
f_{XY}(x,y)=2,\ 0<x<2,0<y<2;\ 0\text{ otherwise}
f
X
Y
(
x
,
y
)
=
2
,
0
<
x
<
2
,
0
<
y
<
2
;
0
otherwise
B
f
X
Y
(
x
,
y
)
=
1
/
2
,
0
<
x
<
2
,
0
<
y
<
2
;
0
otherwise
f_{XY}(x,y)=1/2,\ 0<x<2,0<y<2;\ 0\text{ otherwise}
f
X
Y
(
x
,
y
)
=
1/2
,
0
<
x
<
2
,
0
<
y
<
2
;
0
otherwise
C
f
X
Y
(
x
,
y
)
=
1
/
4
,
0
<
x
<
2
,
0
<
y
<
4
;
0
otherwise
f_{XY}(x,y)=1/4,\ 0<x<2,0<y<4;\ 0\text{ otherwise}
f
X
Y
(
x
,
y
)
=
1/4
,
0
<
x
<
2
,
0
<
y
<
4
;
0
otherwise
D
f
X
Y
(
x
,
y
)
=
1
/
4
,
0
<
x
<
2
,
0
<
y
<
2
;
0
otherwise
f_{XY}(x,y)=1/4,\ 0<x<2,0<y<2;\ 0\text{ otherwise}
f
X
Y
(
x
,
y
)
=
1/4
,
0
<
x
<
2
,
0
<
y
<
2
;
0
otherwise
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Details
Q31
00:00
1 Dec 2024
Q31.
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
,
0
<
x
<
2
,
0
<
y
<
2
;
0
otherwise
f_{XY}(x,y)=2,\ 0<x<2,0<y<2;\ 0\text{ otherwise}
f
X
Y
(
x
,
y
)
=
2
,
0
<
x
<
2
,
0
<
y
<
2
;
0
otherwise
B
f
X
Y
(
x
,
y
)
=
1
/
2
,
0
<
x
<
2
,
0
<
y
<
2
;
0
otherwise
f_{XY}(x,y)=1/2,\ 0<x<2,0<y<2;\ 0\text{ otherwise}
f
X
Y
(
x
,
y
)
=
1/2
,
0
<
x
<
2
,
0
<
y
<
2
;
0
otherwise
C
f
X
Y
(
x
,
y
)
=
1
/
4
,
0
<
x
<
2
,
0
<
y
<
4
;
0
otherwise
f_{XY}(x,y)=1/4,\ 0<x<2,0<y<4;\ 0\text{ otherwise}
f
X
Y
(
x
,
y
)
=
1/4
,
0
<
x
<
2
,
0
<
y
<
4
;
0
otherwise
D
f
X
Y
(
x
,
y
)
=
1
/
4
,
0
<
x
<
2
,
0
<
y
<
2
;
0
otherwise
f_{XY}(x,y)=1/4,\ 0<x<2,0<y<2;\ 0\text{ otherwise}
f
X
Y
(
x
,
y
)
=
1/4
,
0
<
x
<
2
,
0
<
y
<
2
;
0
otherwise
Save
Read
Check
Details
