A new kind of tulip is produced that develops only purple and 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 froma larg cultivated field yields 812 purple flowers and 188 pink flowers.

a. Determine the frequency of the purple and pink alleles in this field population.

b. Estime the proportion of all purple flowering plants that are heterzygotes and homozygotes.