High School

There are two forms of human earwax: wet and dry. [tex]W[/tex] is a dominant allele that produces wet earwax. In a sample of Swedes, you measure the following genotypes.

What is the allele frequency of [tex]w[/tex]?

[tex]WW: 810[/tex]
[tex]Ww: 180[/tex]
[tex]ww: 10[/tex]

Answer :

Final answer:

The allele frequency of w can be determined by adding up the number of copies of the w allele and dividing it by the total number of alleles in the population.

Explanation:

The allele frequency of w can be calculated by adding up the number of copies of the w allele and dividing it by the total number of alleles in the population. In this case, the number of copies of the w allele is equal to 2 times the number of ww individuals plus the number of Ww individuals, because each Ww individual carries one w allele. Therefore, the frequency of the w allele is (10 x 2 + 180) / (810 + 180 + 10) = 0.214.

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Final answer:

In the given population, the allele frequency of the recessive allele w can be calculated by dividing the total number of w alleles by the total number of all alleles. In this case, the allele frequency of w in the studied population is 0.1 or 10%.

Explanation:

To calculate the allele frequency for w, we first need to determine the total number of alleles and the number of w alleles in the population. Each individual possesses two alleles for each trait, so the total number of alleles in the population is 2000 (2*(810+180+10)).

The number of w alleles is detected in both the homozygous recessive (ww) and heterozygous (Ww) individuals. Since there are 10 individuals with the ww genotype each harboring two w alleles, and 180 with the Ww genotype each having one w allele, there are in sum 10*2 + 180 = 200 w alleles.

As a result, the allele frequency of w is the number of w alleles divided by the total number of alleles, so 200/2000 = 0.1 or 10%.

Remember that allele frequency is a measure of the relative frequency of an allele on a genetic locus in a population; frequency changes over time can also indicate evolution in the population.

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