Question

f 20% of the population are homozygous for the scalp-wiggling allele •(qq, or q 2), then what proportion of the population is homozygous for the non-wiggling allele?

Answer 1

The proportion of the population that is homozygous for the non-wiggling allele is 0.3056.

Explanation:

Denote the variables as follows:

q² = number of people who are homozygous for the scalp-wiggling allele.

p² = number of people who are homozygous for the non-wiggling allele.

It is provided that the proportion of the population who are homozygous for the scalp-wiggling allele is, q² = 0.20.

Compute the value of q as follows:

`q^(2)=0.20\\q=√(0.20)\\=0.4472`

Compute the value of p as follows:

`p=1-q\\=1-0.4472\\=0.5528`

Compute the proportion of the population who are homozygous for the non-wiggling allele as follows:

`p^(2)=(0.5528)^(2)=0.30558784\approx0.3056`

Thus, the proportion of the population that is homozygous for the non-wiggling allele is 0.3056.