Answer :
The percentage of butterflies in the population that are homozygous dominant is 12%. The number of heterozygous butterflies if the population contained 4,216 individuals is 48%.
What is Hardy-Weinberg's principle?
Hardy- Weinberg principle states that allele and genotype frequencies remain constant from generation to generation in the absence of other evolutionary influences.
Given the characteristics of its population,
Brown (B) predominates over white (b) color.
Recessive phenotype frequency (Q)= 40%
Q = 0.4
According to the Hardy-Weinberg principle, the frequency is given by P and Q for a population with the dominant and recessive trait, where P+Q=1 preserves the equilibrium of the population allele.
So then, P = 1-Q
P=1-0.4
P = 0.6
Heterozygotic butterflies = 2PQ
So, 2PQ= 2x0.6x0.4
=0.48
So, 48% of the population is heterozygous.
Homozygous dominant individual frequency = 1-(40 + 48)
= 12 i.e. 12%
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