In com, the allele $A$ allows the deposition of anthocyanin (blue) pigment in the kemels (seeds), while aa plants have yellow kemels. At a second gene, $W_{-}$ produces smooth kemels, while ww kemels are wrinkled. A plant with blue smooth kemels was crossed to a plant with yellow wrinkled kernels. The progeny consisted of 1447 blue smooth, 169 blue wrinkled, 186 yellow smooth, and 1510 yellow wrinkled.
a. Are the $a$ and $w$ loci linked? If so, how far apart are they?
b. What was the genotype of the blue smooth parent? Include the chromosome arrangement of alleles.
c. If a plant grown from a blue wrinkled progeny seed is crossed to a plant grown from a yellow . smooth $F_1$ seed, what kinds of kernels would be expected, and in what proportions?