Pigs can be solid colored or half colored (the anterior half may be white). A solid colored pig was…

Pigs can be solid colored or half colored (the anterior half may be white). A solid colored pig was crossed to a half-colored pig and the litter consisted entirely of solid-colored piglets. The F1 offspring were used in the following crosses.
F1 solid X P solid produced all solid offspring
F1 solid X F1 solid produced 7 solid and 2 half-color
F1 solid X P half-colored produced 3 solid and 4 half-colored.
a. Which phenotype is dominant and which is recessive?
b. Assigning B to the dominant allele and b to the recessive allele, what are the genotypes of the original parents?
c. What genotypes occur in the progeny of cross 2?
d. What are the genotypes of the solid-colored progeny of cross 3?
e. What proportion of the eggs of an F1 female will carry the gene for half color?