Answer
$F(x)=\left\{\begin{array}{ll}{0,} & {X<0} \\ {\frac{1}{25},} & {0 \leq X<1} \\ {\frac{4}{25},} & {1 \leq X<2} \\ {\frac{9}{25},} & {2 \leq X<3} \\ {\frac{16}{25},} & {3 \leq X<4} \\ {1,} & {X \geq 4}\end{array}\right.$
Work Step by Step
$F(x)=\left\{\begin{array}{ll}{0,} & {X<0} \\ {\frac{1}{25},} & {0 \leq X<1} \\ {\frac{1+3}{25}=\frac{4}{25},} & {1 \leq X<2} \\ {\frac{4+5}{25}=\frac{9}{25},} & {2 \leq X<3} \\ {\frac{9+7}{25}=\frac{16}{25},} & {3 \leq X<4} \\ {1,} & {X \geq 4}\end{array}\right.$