Question 30 - Week 2 Practice | Prasnya
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Week 2
Question 30
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Est. 2 min
Marks:
+2.00
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Passage
Based on the above data, answer the given subquestions. A fair die is thrown two times independently. Let
X
1
X_1
represent the number obtained in the first throw,
X
2
X_2
represent the number obtained in the second throw. Define a new random variable
X
=
max
(
X
1
,
X
2
)
X=\max(X_1,X_2)
.
Question
Compute the CDF of
X
X
,
F
X
(
k
)
F_X(k)
, where
k
∈
{
1
,
2
,
3
,
4
,
5
,
6
}
k\in\{1,2,3,4,5,6\}
.
Comprehension
Medium Difficulty
29 October 2023
A
F
X
(
k
)
=
k
6
F_X(k)=\frac{k}{6}
B
F
X
(
k
)
=
(
1
6
)
2
F_X(k)=\left(\frac{1}{6}\right)^2
C
F
X
(
k
)
=
(
k
+
1
6
)
2
F_X(k)=\left(\frac{k+1}{6}\right)^2
D
F
X
(
k
)
=
(
k
6
)
2
F_X(k)=\left(\frac{k}{6}\right)^2