$27.$ Consider $10$ populations that have the genotype frequencies shown in the following table:

a$.$ Which of the populations are in Hardy$-$Weinberg equilibrium?

b$.$ What are $\backslash ($ p $\backslash )$ and $\backslash ($ q $\backslash )$ in each population?

c$.$ In population $10,$ the $\backslash ($ A $\backslash$rightarrow a $\backslash )$ mutation rate is discovered to be $\backslash (5\backslash$times $10^\{-6\}\backslash ).$ What must be the fitness of the ala phenotype if the population is at equilibrium?

d$.$ In population $6,$ the $\backslash ($ a $\backslash )$ allele is deleterious; furthermore, the $\backslash ($ A $\backslash )$ allele is incompletely dominant; so $\backslash ($ A $/$ A $\backslash )$ is perfectly fit, $\backslash ($ A $/$ a $\backslash )$ has a fitness of $0\mathrm{.}8,$ and a$/$a has a fitness of $0\mathrm{.}6.$ If there is no mutation, what will $\backslash ($ p $\backslash )$ and $\backslash ($ q $\backslash )$ be in the next generation?