Question 9 - Week 2 Practice | Prasnya
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Week 2
Question 9
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Est. 3 min
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Passage
Based on the above data, answer the given subquestions. The joint PMF of two discrete random variables
X
X
and
Y
Y
is given in the table. Define a random variable
Z
=
X
2
+
Y
−
1
Z=X^2+Y-1
.
Question
Which of the following option(s) is/are correct?
Comprehension
Medium Difficulty
13 July 2025
A
Range of
Z
=
{
−
1
,
0
,
1
,
3
,
4
}
Z=\{-1,0,1,3,4\}
B
The value of
P
(
Z
=
3
∣
Y
=
0
)
P(Z=3\mid Y=0)
is
0.25
0.25
C
Range of
Z
=
{
−
1
,
2
,
4
,
5
}
Z=\{-1,2,4,5\}
D
The value of
P
(
Z
=
4
∣
X
=
2
)
P(Z=4\mid X=2)
is
0.15
0.15