contestada

In studying the gene pool of a population, you find that 15% of the population is homozygous recessive (tt) for a trait. How would you use this information to solve for the frequency of the dominant T allele?

Respuesta :

Because we know that 15% of the population does not have the allele we can assume that at least 85% of the population has at least on copy of the dominant allele.

Answer:[tex]61\\[/tex] %

Explanation:

As per HARDY-WEINBERG LAW

[tex]p^2 + 2pq + q^2 = 1 \\p + q = 1\\[/tex]

[tex]p = \\[/tex] represents the frequency of the dominant allele in the population

[tex]q =\\[/tex]represents the frequency of the recessive allele in the population

[tex]p^2 =\\[/tex]represents the percentage of homozygous dominant individuals

[tex]q^2 = \\[/tex]represents the percentage of homozygous recessive individuals

[tex]2pq =\\[/tex]represents the percentage of heterozygous individuals

Here the frequency of ‘tt” allele is [tex]0.15\\[/tex]

Thus, [tex]p^2 = 0.15\\p = \sqrt{0.15}\\p = 0.387\\[/tex]

Substituting this in below given equation, we get -

[tex]0.387 + q = 1\\q = 1 - 0.387 \\q = 0.613\\[/tex]

Frequency of T allele is represented by q.

Thus, frequency of T allele would be [tex]0.613\\= 61 %\\[/tex]%