Question 35 - Week 5 Practice | Prasnya
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Week 5
Field
IITM-DS
Exam
Quiz 2
Subject
Statistics 2
Week
Week 5
Question 35 of 83
Passage question
00:00
Est. 2 min
Marks
+2.00
0.00
Passage
Suppose
X
X
and
Y
Y
are uniformly distributed over the shaded region
D
D
shown in Figure 1.
Question
Which option(s) are true?
Comprehension
Medium Difficulty
04 August 2024
A
f
X
(
x
)
=
{
2
/
9
,
1
<
x
≤
2
;
4
/
9
,
2
<
x
≤
3
;
3
/
9
,
3
<
x
≤
4
;
0
otherwise
}
f_X(x)=\{2/9,\ 1<x\le2;\ 4/9,\ 2<x\le3;\ 3/9,\ 3<x\le4;\ 0\text{ otherwise}\}
B
f
X
(
x
)
=
{
1
/
9
,
1
<
x
≤
2
;
2
/
9
,
2
<
x
≤
3
;
3
/
9
,
3
<
x
≤
4
;
2
/
9
,
4
<
x
≤
5
;
1
/
9
,
5
<
x
≤
6
;
0
otherwise
}
f_X(x)=\{1/9,\ 1<x\le2;\ 2/9,\ 2<x\le3;\ 3/9,\ 3<x\le4;\ 2/9,\ 4<x\le5;\ 1/9,\ 5<x\le6;\ 0\text{ otherwise}\}
C
(
X
∣
Y
=
a
)
∼
U
n
i
f
o
r
m
[
1
,
6
]
(X\mid Y=a)\sim\mathrm{Uniform}[1,6]
for
1
<
a
<
2
1<a<2
D
(
X
∣
Y
=
a
)
∼
U
n
i
f
o
r
m
[
1
,
6
]
(X\mid Y=a)\sim\mathrm{Uniform}[1,6]
for
3
<
a
<
4
3<a<4
