NEET Class neet Answered
Since there are only two alleles, we will label them ‘A’ (PTC taster) and ‘a’ (non-PTC taster).
The frequency of the dominant allele (A) is designated by p.
The frequency of the recessive allele (a) is designated by q.
In the Hardy-Weinberg equation (p2 + 2pq + q2 = 1), q2 is the frequency of the ‘aa’ genotype (non-PTC taster homozygous, in this case).
Once we know q, we know p, because p + q = 1
Therefore, p = 1 – q, or p = 1 – 0.4 = 0.6
Now we know p and q (p = 0.6 and q = 0.4)
The Hardy-Weinberg equation is: p2 + 2pq + q2 = 1
Therefore, frequency of heterozygotes (Aa) in the population is 2pq
Plug our values for p and q into this and you get:
Frequency of heterozygotes = 2*p*q = 2*0.6*0.4 = 0.48
To be complete, we predict all the genotype frequencies to be:
Frequency of AA = p2 = (0.6)2 = 0.36
Frequency of Aa = 2pq = 2*0.6*0.4 = 0.48
Frequency of aa = q2 = (0.4)2 = 0.16
In a population of 4000, multiplying every term by 4000
p2 + 2pq + q2 = 4000
p2 = 1440
q2 = 640
2pq = 1920
Hence, the frequency of heterozygote tasters in a population of 4000 is 1920.
The correct answer is option 2.