Question 5 - Week 4 Practice | Prasnya
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Qualifier / Quiz 1
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Statistics 2
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Week 4
Question 5
00:00
Est. 2 min
Marks:
+2.00
0.00
Passage
Based on the above data, answer the given subquestions. Let
X
X
be a continuous random variable with the PDF
f
X
(
x
)
=
{
x
2
,
0
≤
x
≤
2
0
,
otherwise
.
f_X(x)=\begin{cases}\frac{x}{2}, & 0\le x\le 2\\0, & \text{otherwise}\end{cases}.
Question
Calculate the value of
Var
(
X
)
\operatorname{Var}(X)
.
Comprehension
Medium Difficulty
13 July 2025
A
2
2
B
4
3
\frac{4}{3}
C
2
9
\frac{2}{9}
D
2
3
\frac{2}{3}
