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Question

9% of Hardy Weinberg population of 800 are recessive. How many of this population are heterozygous?

A
336
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B
392
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C
372
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D
362
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Solution

The correct option is A 336
According to the Hardy-Weinberg principle,
p2 + 2pq + q2 = 1
Here, p and q represent the individual allele frequencies.
Therefore, p2= frequency of homozygous condition represented by p.
q2= frequency of homozygous alleles represented by q.
2pq = frequency of heterozygous condition.
Here, p2 = 0.09, hence p = 0.3
Using p + q = 1, q = 0.7
So, the allelic frequency of heterozygous population,
2pq = 2 × 0.3 × 0.7 = 0.42
So, the heterozygous population = 0.42 × 800 = 336.
So, the correct option is '336'.

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