Within a population of butterflies, the color brown (B) is dominant over the color white (b). And, 29% of all butterflies are white.
Calculate the frequency of homozygous dominant individuals.
a
22%
b
42%
c
63%
d
25%
Let p be the frequency of the dominant allele (B) and q be the frequency of the recessive allele (b).
Given that 29% of all butterflies are white, this means that q^2 = 0.29
Taking the square root of both sides, we get q = √0.29 ≈ 0.54
Now, p + q = 1
p + 0.54 = 1
p = 0.46
Now, to calculate the frequency of homozygous dominant individuals:
p^2 = (0.46)^2 ≈ 0.2116
Approximately 21%, which is closest to 22% (option a)