A function 
is a probability density function (pdf) on the interval 
if 
Find the value of the constant 
to make the function 
a pdf on the interval 
.
Definitions:
Subgroup
A smaller, distinct group formed within a larger group, often characterized by shared interests or goals.
Motivator
An internal or external factor that stimulates desire and energy in people to be continually interested and committed to a job, role, or subject.
Community
A group of people living in the same place or having a particular characteristic in common, or a feeling of fellowship with others.
Composition
The way in which something is made up or formed, including the structure or arrangement of its parts.
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