Question

A new kind of tulip is produced that develops only purple or pink flowers. Assume that flower color is controlled by a single-gene locus and that the purple allele (C) is dominant to the pink allele (c). A random sample of 1000 tulips from a large cultivated field yields 847 purple flowers and 153 pink flowers. The proportion of all purple flowering plants that are heterozygotes is 467.
a. Determine the frequency of the purple and pink alleles in this field population.
b. Estimate the proportion of all purple flowering plants that are heterozygotes and homozygotes.

Answer 1

Answer:

Explanation:

the purple allele (C) is dominant to the pink allele (c).

The frequency of C represents p while that of c represent q. Using the formula p+q= 1

The proportion of pink flower is 153/1000 = 0.153. This is also the frequency of the genotype cc (q^2).

Thud to find q which is the frequency of the c allele,

q = √0.153

q = 0.3912

From the formula p +q = 1 we can find p p = 1 - 0.3912

p which is the frequency of the C allele

p = 0.6088.

B. the proportion of all purple flowering plants that are heterozygotes and homozygotes is 847 / 1000 = 0.847