For a given gene in a population, there are two alleles, A and a. The frequency of the dominant homozygote, AA, is 0.50; the frequency of the heterozygote, Aa, is 0.20; and the frequency of the recessive homozygote, aa, is 0.30. What is the frequency of the recessive a allele?

0.548

Explanation:

In a population the genotype frequency =p2+2pq+q2=1

gene frequency =p+q=1

Where p is the homozygous allele(A)

q is the recessive allele(a)

Pq represent the heterozygote allele

Given that p2=0.50

2pq=0.20

q2=0.30

To get q=√0.30

q=0.548

The gene frequency for homozgous reccessive allele a is 0.548

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