Calculate the genotype and allele frequencies. What would be the expected genotype frequencies if this population were in genetic equilibrium?

Question

A population with 600 members has the following genotypic profile: AA= 350, Aa= 100, aa= 150.

Answer 1

AA=350

Aa=100

aa=150

p^2 +2pq +q^2

p=?

q=?

p= A allele frequency

q= a allele frequency

p allele frequency is (AA + (1/2)Aa ) / total number of alleles

so p = (350 + 100 / 2 ) / 600 = 400 / 600= 0.66 =p

We can either do the same thing to solve for q (a allele frequency) or we can just know that p + q =1 since the allele frequencies always have to add up to 100%. Once you know either p or q you can find the other allele freq.

0.66 + q = 1

q = 0.44

So the allele frequencies are

A = 0.66

a = 0.44

and to find the genotype frequencies, it's just each genotypes dived by the total number of alleles.

Homogeneous AA 350/600 = 0.58

Heterogeneous Aa 100/600 = 0.16

Homogeneous aa 150/600 = 0.25

Let me know if you have any other questions or if you need help explaining this problem.