Erma and Harvey were a compatible barnyard pair, but a curious sight. Harvey's
tail was only \(6 \mathrm{cm}\) long, while Erma's was \(30 \mathrm{cm}\) Their
\(F_{1}\) piglet offspring all grew tails that were \(18 \mathrm{cm} .\) When
inbred, an \(\mathrm{F}_{2}\) generation resulted in many piglets (Erma and
Harvey's grandpigs), whose tails ranged in 4 -cm intervals from 6 to \(30
\mathrm{cm}(6,10,14,18,22,26, \text { and } 30) .\) Most had 18 -cm tails,
while \(1 / 64\) had 6 -cm tails and \(1 / 64\) had 30 -cm tails.
(a) Explain how these tail lengths were inherited by describing the mode of
inheritance, indicating how many gene pairs were at work, and designating the
genotypes of Harvey, Erma, and their 18 -cm-tail offspring.
(b) If one of the 18 -cm \(\mathrm{F}_{1}\) pigs is mated with one of the 6 -cm
\(\mathrm{F}_{2}\) pigs, what phenotypic ratio would be predicted if many
offspring resulted? Diagram the cross.