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Mathematics
Mathematics
Problem
A continuous random variable
X
X
X
has the probability density function given by
f
(
x
)
=
{
k
x
for
0
≤
x
<
1
k
for
1
≤
x
≤
2
0
otherwise
f(x) = \begin{cases} kx & \text{for } 0 \le x < 1 \\ k & \text{for } 1 \le x \le 2 \\ 0 & \text{otherwise} \end{cases}
f
(
x
)
=
⎩
⎨
⎧
k
x
k
0
for
0
≤
x
<
1
for
1
≤
x
≤
2
otherwise
Find the median of
X
X
X
.
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