Honeybees have haplodiploid sex determination: queens (females) are diploid, developing from fertilized eggs, whereas drones (males) are haploid, developing from unfertilized eggs. Otto Mackensen studied linkage relations among eight mutations in
honeybees
a. Only the genotype of the queen is given. Why is the genotype of the male parent not needed for mapping these genes? Would the genotype of the male parent be required if we examined female progeny instead of male progeny?
b. Determine the nonrecombinant and recombinant progeny for each cross, and calculate the map distances between $c d, h,$ and ch. Draw a linkage map illustrating the linkage arrangements among these three genes.