Question

In a population of gerbils, long hair (H) is completely dominant over short hair (h). If 18% of the population has short hair, calculate the percentage of the population that is expected to be heterozygous (Hh).

a) 29%
b) 49%
c) 58%
d) 80%

Answer 1

b) 49%

Step-by-step explanation:

To answer this question, we must assume that the population of gerbils is in Hardy-Weinberg equilibrium.

According to this law, the frequencies of the genotypes will be:

`HH=p^2\\\\Hh = 2pq\\\\hh=q^2`

Where p is the frequency of the H allele and q is the frequency of the h allele.

p+q=1

If 18% of the population has short hair, the frequency of the hh genotype is 0.18.

Therefore:

`q^2=0.18\\q=√(0.18) \\q=0.42\\\\p=1-q\\p=1-0.42\\p=0.58`

The expected Hh population is 2pq:

`freq(Hh) =2pq=2*0.58*0.42\\freq(Hh)=0.49`

The percentage of the population expected to be heterozygous is 0.49x100=49%