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6 October, 12:56

A population has two possible alleles for a gene: W and w. The w allele occurs with a frequency of 0.84 in a population of clams. Give the frequency of the homozygous dominant genotype.

a. 0.16

b. 0.267

c. 0.026

d. 0.84

e. 0.706

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  1. 6 October, 13:19
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    c. 0.026

    Explanation:

    Suppose the population is in Hardy-Weinberg equilibrium. According to it,

    p + q = 1

    p² + 2pq + q² = 1

    where p = frequency of dominant allele

    q = frequency of recessive allele

    p² = frequency of homozygous dominant genotype

    q² = frequency of homozygous recessive genotype

    2pq = frequency of heterozygous genotype

    Here, q = w = 0.84

    p = W = 1 - w = 1 - 0.84 = 0.16

    W² = 0.16 * 0.16 = 0.0256 = 0.026

    Hence, frequency of the homozygous dominant genotype = 0.026
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