Question $(2)$:

$[10$ Marks$]$

The genetic algorithm is used to maximize the function $f(x)=$exp$(-(x-1{)}^2)$ in the region

$-3,2.$ Each variable is encoded as a real number.

a$-$ Generate randomely $10$ individuals for as the first generation. You will use the real

number encoding scheme.

b$-$ Calculate the fitness function value for each chromosome.

c$-$ Carry out a tournament selection round to generate $5$ pairs of individuals.

d$-$ Crossover the selected pairs.

e$-$ Mutate the resulting chromosomes.

$f-$ Decode and calculate the fitness function corresponding to the new

chromosomes.

Repeat steps $($b$)$ to $($f$)$ until you get optima point.