To calculate the allele frequencies in the population, we can assign the dominant allele (gray wings) as "G" and the recessive allele (white wings) as "g."
Given that 20% are homozygous dominant (GG), 20% are heterozygous (Gg), and 60% are homozygous recessive (gg), we can determine the allele frequencies.
The frequency of the dominant allele (G) can be calculated as follows:
( 2 ^ * frequency of GG individuals) + (frequency of Gg individuals)
=( 2 ^ * 0.20)+0.20 = 0.4 + 0.2
= 0.6
The frequency of the recessive allele (g) can
be determined by subtracting the frequency of the dominant allele (G) from 1:
1 - 0.6 = 0.4
The allele frequencies in this population are 0.60 for G and 0.40 for g.
We can use the allele frequencies calculated earlier.
The expected frequency of GG individuals is (frequency of G)^2 = 0.60^2 = 0.36 (or 36%).
The expected frequency of Gg individuals is 2* (frequency of G) * (frequency of g )=2 * 0.60^ * 0.4 = 0.48 (or 48%).
The expected frequency of gg individuals is (frequency of g)^ 2 = 0.4 ^ 2 = 0.16 (or 16%).
The observed genotype frequencies differ from the expected frequencies (36% GG, 48% Gg, and 16% gg). The population is not in Hardy-Weinberg equilibrium
Rewrite the above equation as 12th standard student and short
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Given that 20% of the population are homozygous dominant (GG), 20% are heterozygous (Gg), and 60% are homozygous recessive (gg), we can determine the allele frequencies.
The frequency of the dominant allele (G) can be calculated by adding the frequency of GG individuals to half the frequency of Gg individuals:
Frequency of G = (2 * Frequency of GG) + Frequency of Gg
= (2 * 0.20) + 0.20
= 0.40 + 0.20
= 0.60
The frequency of the recessive allele (g) can be calculated by subtracting the frequency of the dominant allele (G) from 1:
Frequency of g = 1 - Frequency of G
= 1 - 0.60
= 0.40
Therefore, the allele frequencies in this population are 0.60 for G and 0.40 for g.
Next, we use these allele frequencies to calculate the expected genotype frequencies under Hardy-Weinberg equilibrium.
The expected frequency of GG individuals (Frequency of GG) is (Frequency of G)^2:
= 0.60^2
= 0.36 (or 36%)
The expected frequency of Gg individuals (Frequency of Gg) is 2 * (Frequency of G) * (Frequency of g):
= 2 * 0.60 * 0.40
= 0.48 (or 48%)
The expected frequency of gg individuals (Frequency of gg) is (Frequency of g)^2:
= 0.40^2
= 0.16 (or 16%)
When comparing the observed genotype frequencies with the expected frequencies (36% GG, 48% Gg, and 16% gg), we can see that the population is not in Hardy-Weinberg equilibrium.