Final answer:
The inheritance pattern is Mendelian with red dominant over yellow. The genotypes of the parents are RR and rr, and all offspring will be Rr with orange wings, demonstrating incomplete dominance.
Step-by-step explanation:
The pattern of inheritance exhibited by the moth species for wing color is a simple Mendelian inheritance where the allele for red wings (R) is dominant over the allele for yellow wings (r). No information is given about the dominance of the orange wing allele (Rr), but we can assume that it is a result of incomplete dominance between the red and yellow alleles.
The genotypes of the parents are RR for the red-winged moth and rr for the yellow-winged moth. Given that red is dominant over yellow, all the offspring from this cross will have the genotype Rr and display the orange wing phenotype, assuming that orange is indeed the result of incomplete dominance between red and yellow. There will be 0% with red wings, 100% with orange wings, and 0% with yellow wings among their offspring.