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12 January, 10:51

In humans, MN blood types are determined by an autosomal gene with two alleles: LM and LN. In one population of 592 people, there are 148 individuals with blood type N. Assuming the population is in Hardy-Weinberg equilibrium, how many individuals should have the blood type M

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  1. 12 January, 12:58
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    148

    Explanation:

    According to Hardy-Weinberg equilibrium,

    p + q = 1

    p² + 2pq + q² = 1 where,

    p = frequency of dominant allele

    q = frequency of recessive allele

    p² = frequency of homozygous dominant genotype

    2pq = frequency of heterozygous genotype

    q² = frequency of homozygous recessive genotype

    Here,

    Total population = 592

    Number of NN people = 148

    Frequency of N blood group or NN genotype (q²) = 148/592 = 0.25

    q = √0.25 = 0.5

    p = 1 - q

    = 1 - 0.5 = 0.5

    Hence, p = 0.5

    Frequency of MM genotype = p² = 0.25

    Number of people with MM genotype = 0.25*592 = 148

    Hence, 148 people will have MM genotype or M blood group.
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