Problem: The cdf function

Problem

If \(F\) is a cumulative distribution function, is it possible for

  1. \(F\left( x \right)>1\) ?
  2. \(F\left( x \right)<0\) ?
  3. \(F\left( x \right)=0\) ?
  4. \(F\left( x \right)=1\) ?

Solution