Question

You have sampled a population in which you know that the percentage of the homozygous recessive genotype (aa) is 36%. Using that 36%, calculate the following:

The frequency of the "aa" genotype.

Answer 1

The frequency of the "aa" genotype is 0.36. Using the Hardy-Weinberg principle, the frequency of allele 'a' is 0.6, and the allele 'A' is 0.4, allowing us to calculate the genotype frequencies of AA (0.16), Aa (0.48), and aa (0.36) in a population.

Step-by-step explanation:

The frequency of the "aa" genotype in a population where the homozygous recessive genotype (aa) is 36% means that 36 out of 100 individuals are aa.

To express this as a fraction, the frequency is 0.36. According to the Hardy-Weinberg principle,

for a gene with two alleles A and a, the frequency of the allele 'a' (q) can be calculated by taking the square root of the frequency of the homozygous recessive genotype, which in this case is √0.36 = 0.6. The frequency of the allele 'A' (p) would then be 1 - q, which equals 0.4.

The genotype frequencies for a population in Hardy-Weinberg equilibrium (p² + 2pq + q² = 1) are as follows: the frequency of AA (p²) is 0.16, the frequency of Aa (2pq) is 0.48, and the frequency of aa (q²) remains at 0.36.

Answer 2

The frequency of the "aa" genotype in the sampled population is 36%.

Step-by-step explanation:

The frequency of a genotype in a population is the proportion of individuals with that specific genotype. In this case, the given information states that the percentage of the homozygous recessive genotype (aa) is 36%. To convert this percentage to a frequency, you divide it by 100.

Now, let's perform the calculation:

`\[ \text{Frequency of } aa = \frac{\text{Percentage of } aa}{100} = (36)/(100) = 0.36 \]`

Therefore, the frequency of the "aa" genotype is \(0.36\) or
`\(36\%\)`. This indicates that, in the sampled population,
`\(36\%\)` of individuals possess the homozygous recessive genotype "aa."

Understanding the frequency of genotypes in a pop
`\(0.36\)`s calculation provides valuable information for geneticists and researchers working with population genetics.