In the tubular flowers of foxgloves, wild-type coloration is red while a mutation called white produces white flowers. Another mutation, called peloria, causes the flowers at the apex of the stem to be huge. Yet another mutation, called dwarf, affects stem length. You cross a white-flowered plant (otherwise phenotypically wild type) to a plant that is dwarf and peloria but has wild-type red flower color. All of the \mathrm{F}_{1}F
1
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plants are tall with white, normal-sized flowers. You cross an \mathrm{F}_{1}F
1
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plant back to the dwarf and peloria parent, and you see the 543 progeny shown in the chart. (Only mutant traits are noted.)

\begin{array}{lr} \text{dwarf, peloria} & \text{172}\\ \text{white} & \text{162}\\ \text{dwarf, peloria, white} & \text{56}\\ \text{wild type} & \text{48}\\ \text{dwarf, white} & \text{51}\\ \text{peloria} & \text{43}\\ \text{dwarf} & \text{6}\\ \text{peloria, white} & \text{5}\\ \end{array}
dwarf, peloria
white
dwarf, peloria, white
wild type
dwarf, white
peloria
dwarf
peloria, white
​

172
162
56
48
51
43
6
5
​


a. Which alleles are dominant? b. What were the genotypes of the parents in the original cross? c. Draw a map showing the linkage relationships of these three loci. d. Is there interference? If so, calculate the coefficient of coincidence and the interference value.