Question 14 - Week 3 Practice | Prasnya
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Week 3
Question 14
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Est. 2 min
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Passage
Based on the above data, answer the given subquestions. Let
X
∼
Uniform
{
1
,
2
,
3
,
4
,
5
,
6
}
X\sim\operatorname{Uniform}\{1,2,3,4,5,6\}
and
Y
∼
Uniform
{
1
,
2
,
3
,
4
,
5
,
6
}
Y\sim\operatorname{Uniform}\{1,2,3,4,5,6\}
be independent random variables. Define two new random variables
Z
Z
and
W
W
such that
Z
=
X
Y
Z=XY
and
W
=
1
−
X
W=1-X
, respectively.
Question
What is the value of
E
(
Z
+
W
)
E(Z+W)
? Enter the answer correct to two decimal places.
Comprehension
Medium Difficulty
23 February 2025
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