To calculate the allele frequencies in the population, we assign "G" for gray wings (dominant allele) and "g" for white wings (recessive allele). The frequency of the dominant allele "G" is 0.60, and the frequency of the recessive allele "g" is 0.40.
Based on these allele frequencies, the expected genotype frequencies in the population are 36% GG, 48% Gg, and 16% gg. However, the observed genotype frequencies do not match the expected frequencies, indicating that the population is not in Hardy-Weinberg equilibrium.
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 above equation in simple writing
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