Step 1:
\The function
over the interval
.
The function is continuous and non negative over the interval
.
If
is a continuous random variable with probability density function
, the probability that
assumes value in the interval between
and
is the area integral
.
The function
.
.
Step 2:
\The function
over the interval
.
Find
, the integral range between
and
.

.
Solution:
\
.
\
\