If a population follows Hardy-Weinberg equilibrium, the relative frequencies of each genotype can be estimated based on the relative frequencies of the alleles, *p* and *q*, with *p* as the relative frequency for the dominant allele and *q* for the recessive allele. The frequency of homozygous dominant can be computed as *p*^{2}, for heterozygotes, it is 2*pq*, and homozygous recessive as *q*^{2}.

I am raising a populationof Halloween cats - they have either black tails or orange tails. tail color is determined by a single gene with only two alleles: B is for a black tail and black is dominant; b represents the allele for the recessive trait, an orange tail.In a population of 200 cats, 32 of the cats have an orange tail. Assuming Hardy-Weinberg equilibrium, what is the frequency of homozygous recessive individuals in the population?