Question 2 - Week 4 Practice | Prasnya
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Week 4
Question 2
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 following PDF:
f
X
(
x
)
=
{
k
(
1
+
x
)
,
0
<
x
<
1
k
(
3
−
x
)
,
1
≤
x
≤
2
0
,
otherwise
f_X(x)=\begin{cases}k(1+x), & 0<x<1\\k(3-x), & 1\le x\le 2\\0, & \text{otherwise}\end{cases}
Question
Find the value of
k
k
.
Comprehension
Medium Difficulty
26 October 2025
A
1
2
\frac{1}{2}
B
1
3
\frac{1}{3}
C
3
3
D
2
2