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28 June, 07:12

In a population of 10,000 individuals, 400 express a recessive trait. How many heterozygotes are there expected to be?

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  1. 28 June, 10:52
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    We will use the Hardy-Weinberg equation; p2 + 2pq + q2 = 1

    q2 represent the frequency of the recessive trait in the population which is 400/10000 = 0.04. Then find frequency of the recessive allele.

    q = 0.2. While we understand that p+q = 1; p = 1-q; p = 1-0.2 = 0.8.

    2pq represents the frequency of heterozygous trait in the population. Therefore 2*0.8*0.2 = 0.32

    0.32*10000 = 3200
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