What Determines the Correct K Value for a Probability Density Function?

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Jason03
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I am tyring to solve the follwing problem...


http://www.imagedump.com/index.cgi?pick=get&tp=549226

What is the appropriate K valuefor this to be a legitimate probability density function?

Im not exactly sure of the approach to this problem...
 
on Phys.org
Well all you need to do is to understand it means for some function to be considered a legitimate pdf. What criteria must it satisfy?