Suppose the mean attack power for the Warrior class is $54\mathrm{.}6$ with a standard deviation of $5\mathrm{.}1$ while the mean attack power for the Mage class is $25\mathrm{.}3$ with a standard deviation of $3\mathrm{.}5.$ A warrior named Cabar and a mage named Yelam join the guild. Cabar's attack power is $40$ and Yelam's attack power is $19.$

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.