1. If you have a population of 98 beetles and 27 of them are the recessive colored green. What is your frequency of the homozygous dominant red? Homozygous green? Heterozygous red?
Homozygous recessive green will be rr which is qxq or q^2.
q^2 = 27/98 = .276
Use that to determine the frequency of the recessive allele (q).
q = sqrrt(.276) = 0.525
Use that to determine the frequency of the dominant allele (p). Since p + q = 1.
p = 1-0.525 = .475
Use that to determine the frequency of the dominant genotype RR = p^2.
p^2 = 0.226
Use p and q to determine 2pq (the heterozygous frequency).
2pq = 2*.475*0.525 = 0.499
So; the homozygous green has a frequency of .276 (27.6%)
The homozygous red has a frequency of .226 (22.6%)
The heterozygous has a frequency of 0.499 (49.9%)
Check yourself... 27.6+22.6+49.9 = 100.1% --> close enough.
Homozygous recessive green will be rr which is qxq or q^2.
q^2 = 27/98 = .276
Use that to determine the frequency of the recessive allele (q).
q = sqrrt(.276) = 0.525
Use that to determine the frequency of the dominant allele (p). Since p + q = 1.
p = 1-0.525 = .475
Use that to determine the frequency of the dominant genotype RR = p^2.
p^2 = 0.226
Use p and q to determine 2pq (the heterozygous frequency).
2pq = 2*.475*0.525 = 0.499
So; the homozygous green has a frequency of .276 (27.6%)
The homozygous red has a frequency of .226 (22.6%)
The heterozygous has a frequency of 0.499 (49.9%)
Check yourself... 27.6+22.6+49.9 = 100.1% --> close enough.