A sampled “a” population has 36% of homozygous recessive genotype (aa). Then the frequency of allele “a” is
Correct Answer :
60%
Solution :
The correct option is 60%.
To find the frequency of the recessive allele "a", we can apply the Hardy-Weinberg principle. According to this principle, the frequencies of genotypes in a population in genetic equilibrium are represented by the equation:
where:
- represents the frequency of the homozygous dominant genotype (AA),
- represents the frequency of the heterozygous genotype (Aa), and
- represents the frequency of the homozygous recessive genotype (aa).
- is the frequency of the dominant allele "A", and
- is the frequency of the recessive allele "a".
We are given that the homozygous recessive genotype (aa) frequency is 36%. In decimal form, this is:
To find the frequency of the allele "a" (which is ), we take the square root of the homozygous recessive genotype frequency:
Converting the decimal frequency back into a percentage:
Therefore, the frequency of the allele "a" is 60%.
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