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Question

In a Hardy-Weinberg population, with two alleles (A and a) that are in equilibrium, the frequency of the allele A is 0.2. What is the percentage of the population that is heterozygous for this allele?

A
0.32
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B
4
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C
16
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D
32
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Solution

The correct option is D 32
According to the Hardy-Weinberg equation, the sum of the allele frequencies for all the alleles at the locus must be 1, so p + q = 1. Also, the Hardy-Weinberg equation is expressed as: p2 + 2pq +q2 = 1 where p is the frequency of the "A" allele and q is the frequency of the "a" allele in the population. In the equation, p2 represents the frequency of the homozygous genotype AA, q2 represents the frequency of the homozygous genotype aa, and 2pq represents the frequency of the heterozygous genotype Aa. Here, q = 0.2.Hence, p = `1- q = 1 - 0.2 = 0.8. Now, population of heterozygous individual will be 2pq as mentioned, that is 2 * 0.8 * 0.2 = 0.32. It means, there is 32% of the heterozygous population.
Thus, the correct answer is option D.

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