Question

Let A and a be the alleles at a locus l in a population evolving with infinite, non-overlapping
generations. Assume that the probability an AA child survives to reproductive maturity is
0.8; for genotype Aa assume this probability is 0.6 and for genotype aa it is 0.7. Let f_A(t)
denote the frequency of A among the newborns of generation t. The population at birth in
generation 0 is in Hardy-Weinberg equilibrium with f_A(0) = 0.4.
(a) What is the probability that a child of generation 0 is Aa given that it survives to
reproductive maturity?
(b) What is the probability that a randomly selected individual from generation 0 passes
A to an offspring?
(c) What is the lim _t→∞ f_A(t)? Hint: look at the survivorships of the genotypes.

Answer 1