Suppose the mean attack power for the Warrior class is $54\mathrm{.}1$ with a standard deviation of $9\mathrm{.}1$ while the mean attack power for the Mage class is $25\mathrm{.}8$ with a standard deviation of $3\mathrm{.}3.$ A warrior named Cabar and a mage named Yelam join the guild. Cabar's attack power is $37$ and Yelam's attack power is $23.$

a$.)$ The $z-$score $($to the nearest hundredth$)$ for Cabar's attack power is

b$.)$ The z$-$score $($to the nearest hundredth$)$ for Yelam's attack power is

c$.)$ has the higher attack power relative to their population.