Consider the following population of integer-encoded solutions being manipulated by a standard Genetic Algorithm:

No. Genome-------------------------------------Fitness

1. 26892041---------------------------------------500

2. 19487534---------------------------------------200

3. 08495743---------------------------------------100

4. 48957846---------------------------------------200

a) Show a likely population of four parents after selection using the roulette-wheel scheme, indicating why. Contrast with using the tournament selection scheme

b) Show how this parent population might look after crossover using the one-point scheme.

c) Show how this parent population might be further changed under mutation. Note genes can be in the range [0,10].