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Is it possible to construct a characteristic function (for a distribution) $\phi(t)$ such that $\phi(t) = t^{-1/4}$ for $16\leq t \leq 20$?

I tried the inversion formula, but didn't know how to prove that the resulting set function is a probability measure.

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    Alright, now I see how to do it using the inversion formula.2011-12-06
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    If you've answered the question using an [inversion formula](http://en.wikipedia.org/wiki/Characteristic_function_%28probability_theory%29#Inversion_formulas), I think you should post it.2011-12-07

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