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