If F(x) is the cumulative distributive function of a random variable x whose range is from $-\mathrm{\alpha }$ to +α. then$P\left(X<-\alpha \right)$

Range of random variable is always non negative

$\mathrm{F}\left(\mathrm{x}\right)=\mathrm{P}(\mathrm{X}\le \mathrm{x})=0\text{ for }\mathrm{x}<0\text{ (since the random variable cannot assume negative values, }$

$\therefore \mathrm{P}(\mathrm{X}<-\alpha )=0$