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9 June, 10:08

Within a population of butterflies, the color brown (B) is dominant over the color white (b) and 32% of all butterflies are white. Given this simple information, which is something that is very likely to be on an exam (teehee), calculate the following:

1. The percentage of butterflies in the population that are homozygous dominant

2. The number of heterozygous butterflies if the population contained 4,216 individuals

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  1. 9 June, 10:25
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    48% Heterozygous of the population, 12% Homozygous dominant size.

    Explanation:

    Given the characteristics of its population,

    Brown (B) predominates over white (b) color.

    Recessive phenotype frequency (Q) = 40% = 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=0.6

    Heterozygotic butterflies = 2PQ

    So, 2PQ = 2x0.6x0.4=0.48

    That is, 48 percent of people are heterozygous

    Homozygous dominant individual frequency = 1 - (40 + 48) = 12 i. e. 12%
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