Question $1$:

Given the following $CDF$ for a continuous variahle with range from $-3$ to $4,$ develop the random variate generator for the variable $x,-$ show vour steps.

$F(x)=\{\begin{array}{cc}0,& x1\\ \frac{(x-1{)}^2}{\frac{12}{(7-x{)}^2}},& 17\end{array}$

Generate random numbers with the generator you develop by using the following randam numbers $0\mathrm{.}15,0\mathrm{.}45,0\mathrm{.}78$ and $0\mathrm{.}56$