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Week 5 Practice Questions | Prasnya
Q1
00:00
6 Apr 2026
Q1.
The joint PDF of two continuous random variables
X
X
X
and
Y
Y
Y
is given by
f
X
Y
(
x
,
y
)
=
{
4
x
y
17
4
,
0
≤
x
≤
17
,
0
≤
y
≤
17
,
0
,
otherwise.
f_{XY}(x,y)=\begin{cases}\dfrac{4xy}{17^4}, & 0\le x\le 17,\ 0\le y\le 17,\\ 0, & \text{otherwise.}\end{cases}
f
X
Y
(
x
,
y
)
=
⎩
⎨
⎧
1
7
4
4
x
y
,
0
,
0
≤
x
≤
17
,
0
≤
y
≤
17
,
otherwise.
Are
X
X
X
and
Y
Y
Y
independent?
A
No
B
Yes
Save
Check
Details
Q1
00:00
6 Apr 2026
Q1.
The joint PDF of two continuous random variables
X
X
X
and
Y
Y
Y
is given by
f
X
Y
(
x
,
y
)
=
{
4
x
y
17
4
,
0
≤
x
≤
17
,
0
≤
y
≤
17
,
0
,
otherwise.
f_{XY}(x,y)=\begin{cases}\dfrac{4xy}{17^4}, & 0\le x\le 17,\ 0\le y\le 17,\\ 0, & \text{otherwise.}\end{cases}
f
X
Y
(
x
,
y
)
=
⎩
⎨
⎧
1
7
4
4
x
y
,
0
,
0
≤
x
≤
17
,
0
≤
y
≤
17
,
otherwise.
Are
X
X
X
and
Y
Y
Y
independent?
A
No
B
Yes
Save
Check
Details
