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31 May, 11:02

In a population of guinea pigs, short hair is dominant to long hair. If 25 percent of a breeder's guinea pigs have long hair, what is the frequency of the recessive allele (q) ? 5 percent 15 percent 25 percent 50 percent

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  1. 31 May, 11:22
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    Answer: If 25 percent of a breeder's guinea pigs have long hair (p²), the frequency of the recessive allele (q) is 50%.

    Explanation: Since long hair is dominant over short hair, let's denote long hair as HH and short hair as hh. Note that the question didn't indicate that the 25% of the guinea pigs with long hair are heterozygous for the trait. Therefore, we assume that they are homozygous (HH) long hair.

    According to Hardy-Weinberg, for two alleles p and q, p + q = 1 where p represents the dominant allele and q represents the recessive allele.

    From the question, p² = 25% = 25/100 = 0.25

    p = √0.25 = 0.5

    Since p + q = 1,

    q = 1 - p = 1 - 0.5 = 0.5

    Converting 0.5 to percentage, we get 0.5 x 100 = 50%.

    Therefore, the frequency of recessive allele (q) is 50%.
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