Bovine leukocyte adhesion deficiency (BLAD) is an autosomal recessive genetic disorder in Holstein cattle. Affected calves are homozygous recessive (bbbbbb) and suffer from severe immunodeficiency.
A survey of a large, randomly mating pedigree dairy herd revealed that 7.5% of the calves are born with BLAD.
Using the Hardy-Weinberg equations, calculate the percentage of calves in this herd that are heterozygous carriers (BbBbBb) of the BLAD allele.
Use the equations:
p+q=1andp2+2pq+q2=1 p + q = 1 \quad \text{and} \quad p^2 + 2pq + q^2 = 1 p+q=1andp2+2pq+q2=119.9%19.9\%19.9%
39.8%39.8\%39.8%
52.7%52.7\%52.7%
13.9%13.9\%13.9%