# Probability density function

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# 3. Consider the function

f (x) = C ( 2x - x³) 0 < x < 5/2

f (x) = 0 otherwise.

Could f be a probability density function? If so, determine C.

Repeat if f (x) were given by

f (x) = C ( 2x - x²) 0 < x < 5/2

f (x) = 0 otherwise.

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##### Solution Summary

This shows ow to determine if a given function could be a probability density function.

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