Question 27 - Week 4 Practice | Prasnya
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Week 4
Question 27
00:00
Est. 2 min
Marks:
+2.00
0.00
Passage
Sruthi throws a dart onto a circular board. Let a random variable
X
X
denote the distance from the center to the point where the dart hits the board. Suppose the PDF of
X
X
is
f
X
(
x
)
=
k
x
(
1
−
x
2
)
f_X(x)=kx(1-x^2)
for
0
≤
x
≤
1
0\le x\le 1
, and
0
0
otherwise. Based on the above data, answer the given subquestions.
Question
Find the value of
k
k
.
Comprehension
Easy Difficulty
16 July 2023
Your answer