The Hardy-Weinberg principle can be used to calculate allele and genotype frequencies in populations.
A closed population of Hebridean sheep on a remote island has two distinct wool colours, white and black, which are determined by a single gene with two alleles.
The allele coding for white wool, W\text{W}W, is dominant to the allele coding for black wool, w\text{w}w.
A census of the island recorded a total of 1500 sheep, of which 135 had black wool.
Using the Hardy-Weinberg principle, calculate the number of sheep in this population 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