An inbred strain of plants has a mean height of \(24 \mathrm{cm} .\) A second
strain of the same species from a different geographical region also has a
mean height of \(24 \mathrm{cm} .\) When plants from the two strains are crossed
together, the \(\mathrm{F}_{1}\) plants are the same height as the parent
plants. However, the \(\mathrm{F}_{2}\) generation shows a wide range of
heights; the majority are like the \(P_{1}\) and \(F_{1}\) plants, but
approximately 4 of 1000 are only \(12 \mathrm{cm}\) high and about 4 of 1000 are
\(36 \mathrm{cm}\) high.
(a) What mode of inheritance is occurring here?
(b) How many gene pairs are involved?
(c) How much does each gene contribute to plant height?
(d) Indicate one possible set of genotypes for the original \(P_{1}\) parents
and the \(\mathrm{F}_{1}\) plants that could account for these results.
(e) Indicate three possible genotypes that could account for \(\mathrm{F}_{2}\)
plants that are \(18 \mathrm{cm}\) high and three that account for
\(\mathrm{F}_{2}\) plants that are \(33 \mathrm{cm}\) high.