Hello! To calculate the expected number of individuals by genotype if the population is in Hardy-Weinberg equilibrium, we can use the Hardy-Weinberg equilibrium equation:
p^2 + 2pq + q^2 = 1
where p and q are the frequencies of the two alleles in the population, and p^2, 2pq, and q^2 are the expected frequencies of the three possible genotypes.
To calculate p and q, we can use the allele frequency equation:
p + q = 1
where p is the frequency of the M allele and q is the frequency of the N allele.
From the given information, we can calculate the total number of alleles in the population:
2 x (10,876 + 16,078 + 5,942) = 64,792
The frequency of the M allele can be calculated as:
(2 x 10,876 + 16,078) / 64,792 = 0.597
The frequency of the N allele can be calculated as:
(2 x 5,942 + 16,078) / 64,792 = 0.403
Using these allele frequencies, we can calculate the expected frequencies of the three genotypes:
MM: p^2 = (0.597)^2 = 0.357
MN: 2pq = 2 x 0.597 x 0.403 = 0.483
NN: q^2 = (0.403)^2 = 0.162
To calculate the expected number of individuals by genotype, we can multiply the expected frequencies by the total population size:
Expected number of MM individuals = 0.357 x 32,896 = 11,746
Expected number of MN individuals = 0.483 x 32,896 = 15,893
Expected number of NN individuals = 0.162 x 32,896 = 5,257
Therefore, if the population is in Hardy-Weinberg equilibrium, the expected number of individuals by genotype in this village in Qinghai Province would be 11,746 MM individuals, 15,893 MN individuals, and 5,257 NN individuals.