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

Answer:

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

Step-by-step 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:

$q^{2}=0.20\\q=\sqrt{0.20}\\=0.4472$

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.