Answer
$F(x)=\begin{aligned} &\left\{\begin{array}{ll}{0} & {x<1.5} \\ {0.05} & {1.5 \leq x<3} \\ {0.3} & {3 \leq x<4.5} \\ {0.65} & {4.5 \leq x<5} \\ {0.85} & {5 \leq x<7} \\ {1} & {X\geq7} \end{array}\right.\end{aligned}$
Work Step by Step
Given,
$f(x)=\left\{\begin{array}{ll}{0.05} & {x=1.5} \\ {0.25} & {x=3} \\ {0.35} & {x=4.5} \\ {0.2} & {x=5} \\ {0.15} & {x=7} \end{array}\right.$
then,
$F(x)=\begin{aligned} &\left\{\begin{array}{ll}{0} & {x<1.5} \\ {f(1.5)=0.05} & {1.5 \leq x<3} \\ {0.05+f(3)=0.3} & {3 \leq x<4.5} \\ {0.0.3+f(4.5)=0.65} & {4.5 \leq x<5} \\ {0.65+f(5)=0.85} & {5 \leq x<7} \\ {0.85+f(7)=1} & {X\geq7} \end{array}\right.\end{aligned}$
