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# 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.

##### Solution Summary

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

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