The Hardy-Weinberg principle can be used to calculate allele and genotype frequencies in populations.
In a closed conservation flock of domestic sheep (Ovis aries), fleece colour is determined by a single autosomal gene with two alleles. The allele for white fleece, W\text{W}W, is dominant to the allele for black fleece, w\text{w}w.
Out of a total population of 1250 sheep in this flock, 450 are found to have black fleece.
Using the Hardy-Weinberg principle, calculate the number of sheep in this flock that are expected to have a homozygous dominant (WW\text{WW}WW) genotype.
Use the equations:
p+q=1 p + q = 1 p+q=1 p2+2pq+q2=1 p^2 + 2pq + q^2 = 1 p2+2pq+q2=1