Final answer:
Without additional genetic information, we can surmise that the female smooth-hair rabbit has at least one wild-type allele for coat color, but the exact genotype could be either homozygous or heterozygous for the wild-type allele.
Step-by-step explanation:
To determine the genotype of the female smooth-hair rabbit, it is important to understand the allelic series for rabbit coat color and the concept of complete dominance. Given that the wild-type allele for fur pigment production is completely dominant in rabbits, we can infer that the female rabbit with smooth hair must have at least one wild-type allele. However, without specific information about the rabbit's parents or offspring, we cannot pinpoint the exact genotype. The alleles for coat color in rabbits have a hierarchy of dominance, and the smooth-hair phenotype could be a result of a homozygous wild-type genotype (C+C+) or a heterozygous genotype with one wild-type allele and one mutant allele (C+c, where c represents any mutant allele). To determine the specific genotype, more genetic information is required.