Determine whether the given function is a probability density function on the specified interval. 
Definitions:
Physically Attractive
Possessing traits that are commonly considered appealing or aesthetically pleasing in one's culture or society.
Found Guilty
A legal judgment where an individual is determined to have committed a crime as charged in a court of law.
Earn More
The act or potential to increase one's income or financial gain.
Halo Effect
The cognitive bias that allows one positive characteristic of an individual to positively influence one's overall perception of them.
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