Answer
$F(x)=\left\{\begin{array}{ll}{0} & {X<0} \\ {0.008} & {0 \leq X<1} \\ {0.104} & {1 \leq X<2} \\ {0.488} & {2 \leq X<3} \\ {1} & {X \geq 3}\end{array}\right.$
Work Step by Step
Since,
$f(x)=\left\{\begin{array}{ll} {0.008} & { X=0} \\ {0.096} & {X=1} \\ {0.384} & {X=2 } \\ {0.512} & {X = 3}\end{array}\right.$
then,
$F(x)=\left\{\begin{array}{ll}{0} & {X<0} \\ {0.008} & {0 \leq X<1} \\ {0.008+0.096=0.104} & {1 \leq X<2} \\ {0.104+0.384=0.488} & {2 \leq X<3} \\ {1} & {X \geq 3}\end{array}\right.$