Such a function leads to the definition of an associated [[cumulative distribution function]].
Such a function leads to the definition of an associated [[cumulative distribution function]].
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If the [[domain]] of the variable is [[finite]], then the limits on the above integrals would be replaced by those bounds, and a third requirement would be:
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(3) <math> f(x) = 0 </math> <math> \forall x </math> outside the finite domain of support.