Q$6$: Suppose we have this machine called Mars Rover, we want to practice all we learned. Consider that this system use a genetic algorithm in one of his tasks, which individuals are represented using a $5-$bit string of the form b$1$b$2$b$3$b$4$b$5.$

The fitness function is defined:

$f(b1b2b3b4b5)=\frac{b1+b2+b3+b4+b5}{2}+OR(b3,b4,b5)-$ XNOR$(b6,b7)$

Applied GAs Process on this Population using $RW$ selection and $2$ bit random crossover $1$ bit random mutation $($Show Work step by step$)$

$0111101$

$0110010$

$1011011$

$0000101$

$1111011$

$1110111$

$1111111$

$0000001$