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19 August, 00:36

A population has a gene with 2 alleles, G and g. The frequency of the G allele is 0.8. The frequency of the g allele is 0.2. This is all that you know. What is the frequency of the GG genotype?

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  1. 19 August, 04:28
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    Answer: The frequency of GG is 0.64

    Explanation: using Hardy-weinberg equation

    g^2 + 2Gg + G^2 = 1 ... (1)

    And the sum of the alleles at the locus must be 1.

    Therefore:

    G + g = 1 ... (2)

    Since

    G=0.8

    g = 0.2

    G^2 = GG (Homozygous G gene)

    g^2 = gg (Homozygous g gene)

    Using equation 1

    GG + (2*0.8*0.2) + gg = 1

    Therefore

    GG + 0.32 + gg = 1

    GG + gg = 0.68 ... (3)

    Solving equation 2

    G + g = 1

    g = 1 - G

    Square both side

    g^2 = (1 - G) ^2 ... 4

    Where g^2 = gg

    Therefore gg = (1 - G) ^2 ... (5)

    Substitute equation 5 into equation 3

    GG + (1 - G) ^2 = 0.68

    Therefore

    GG = 0.68 - (1 - G) ^2

    GG = 0.68 - (1 - 0.8) ^2

    GG = 0.68 - 0.04

    GG = 0.64
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