Question 26 - Week 4 Practice | Prasnya
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Week 4
Question 26
00:00
Est. 2 min
Marks:
+3.00
0.00
Let
X
X
be a continuous random variable with the following PDF:
f
X
(
x
)
=
k
(
1
+
x
)
2
f_X(x)=\frac{k}{(1+x)^2}
for
0
≤
x
≤
4
0\le x\le 4
, and
0
0
otherwise. Find the value of
k
k
. Enter the answer correct to two decimal places. Hint:
∫
1
(
a
+
b
x
)
2
d
x
=
−
1
b
(
a
+
b
x
)
\int\frac{1}{(a+bx)^2}\,dx=-\frac{1}{b(a+bx)}
.
Integer answer
Medium Difficulty
16 July 2023
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