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Suppose that the frequency of a mutant allele affecting amino acid residues 41/42 of β-globin in the Hong Kong population is 2%. What is the projected incidence of β-thalassemia major caused by this mutation in Hong Kong? Question 10Select one:0.01%0.4%0.04%

Question

Suppose that the frequency of a mutant allele affecting amino acid residues 41/42 of β-globin in the Hong Kong population is 2%. What is the projected incidence of β-thalassemia major caused by this mutation in Hong Kong? Question 10Select one:0.01%0.4%0.04%

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Solution

The incidence of a genetic disorder like β-thalassemia major in a population can be calculated using the Hardy-Weinberg principle, which states that the frequency of genotypes in a population will remain constant from generation to generation in the absence of other evolutionary influences.

The formula for the Hardy-Weinberg principle is p^2 + 2pq + q^2 = 1, where p is the frequency of the dominant allele, q is the frequency of the recessive allele, p^2 is the frequency of the homozygous dominant genotype, 2pq is the frequency of the heterozygous genotype, and q^2 is the frequency of the homozygous recessive genotype.

In this case, we are given that the frequency of the mutant allele (q) is 2%, or 0.02. The frequency of the homozygous recessive genotype, which would result in β-thalassemia major, is given by q^2.

So, q^2 = (0.02)^2 = 0.0004, or 0.04%.

Therefore, the projected incidence of β-thalassemia major caused by this mutation in the Hong Kong population is 0.04%.

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