Answer
$F(x)=\begin{aligned} &\left\{\begin{array}{ll}{0} & {x<217} \\ {0.005} & {217 \leq x<218} \\ {0.008} & {218 \leq x<231} \\ {0.053} & {231 \leq x<255} \\ {0.423} & {255 \leq x<267} \\ {0.574} & {267 \leq x<317} \\ {1} & {X\geq317} \end{array}\right.\end{aligned}$
Work Step by Step
Given,
$f(x)=\left\{\begin{array}{ll}{0.005} & {x=217} \\ {0.003} & {x=218} \\ {0.045} & {x=231} \\ {0.370} & {x=255} \\ {0.151} & {x=267} \\ {0.426} & {x=317} \end{array}\right.$
then,
$F(x)=\begin{aligned} &\left\{\begin{array}{ll}{0} & {x<217} \\ {f(217)=0.005} & {217 \leq x<218} \\ {0.005+f(218)=0.008} & {218 \leq x<231} \\ {0.008+f(231)=0.053} & {231 \leq x<255} \\ {0.053+f(255)=0.423} & {255 \leq x<267} \\ {0.423+f(267)=0.574} & {267 \leq x<317} \\ {0.574+f(317)=1} & {X\geq317} \end{array}\right.\end{aligned}$
