Question
In a randomly mating laboratory population of Drosophila, 4 per cent of the flies have black bodies (black is autosomal recessive, b) and 96 per cent have brown bodies (normal colour, B). If this population is assumed to be in Hardy-Weinberg equilibrium, what are the allelic frequencies of B and b, and the genotypic frequencies of BB and Bb?
Answer :
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In a population where the black body colour in Drosophila is controlled by an autosomal recessive allele (b), and brown is dominant (B), the Hardy-Weinberg principle can be applied to estimate allelic and genotypic frequencies. Let (q) represent the frequency of the recessive allele (b) and (p) represent the frequency of the dominant allele (B). According to Hardy-Weinberg equilibrium, the frequency of the homozygous recessive genotype (bb) is equal to (q^2). It is given that 4% of the flies have black bodies, which corresponds to the homozygous recessive genotype (bb). Therefore, (q^2 = 0.04). Taking the square root of both sides, we get (q = \sqrt{0.04} = 0.2). Since (p + q = 1) in a two-allele system, the frequency of the dominant allele (B) is
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