Answer
$F(x)=\left\{\begin{array}{ll}{0,} & {x\lt0} \\{2/6,} & 0\leq x\lt1.5 \\ {4/6,} & {1.5\leq x\lt2} \\ {5/6,} & {2\leq x\lt3} \\ {1,} & {x\geq3} \end{array}\right.$
Work Step by Step
Given,
$f(x)=\left\{\begin{array}{ll}{2/6,} & {x=0} \\ {2/6,} & {x=1.5} \\ {1/6,} & {x=2} \\ {1/6,} & {x=3} \end{array}\right.$
then,
$F(x)=\left\{\begin{array}{ll}{0,} & {x\lt0} \\{2/6,} & 0\leq x\lt1.5 \\ {4/6,} & {1.5\leq x\lt2} \\ {5/6,} & {2\leq x\lt3} \\ {1,} & {x\geq3} \end{array}\right.$