Two varieties A (susceptible) and B (resistant) of a particular squash were used to characterize the genetics of resistance to a necrotizing plant pathogen. Eight thousand plants from each variety were inoculated, and the average number of necrotic lesions produced per leaf was recorded. Variety A averaged 52 lesions per leaf, whereas variety B averaged six lesions per leaf. The F1 progeny from a cross between the two varieties, 8000 were again tested by inoculation, and a total of four plants were produced that were phenotypically similar to the original parental plants - 2 plants for each extreme (i.e., parental) phenotype. Overall, the F2 plants averaged 18 lesions per leaf with a phenotypic variance of 56.3.
a) How many gene pairs control resistance to this pathogen?
b) Determine the broad-sense heritability of resistance to this particular pathogen among the F2 plants assuming that there is no genetic-environmental interaction variance for this trait.