. If 64% of the population carries at least one copy of the recessive allele, what is the predicted frequency of individuals in the population that express the dominant phenotype?
What is the predicted frequency of individuals in the population that express the recessive phenotype?
Do your calculations support the original numbers given in the problem? That is, do 64% of the individuals carry at least one copy of the recessive allele?
As per the question,
Aa + aa = 64%
AA = 100 - 64 = 36%
Genotypic frequency of AA = 36% = 36/100 = 0.36
Allelic frequency of A = √0.36 = 0.6
Allelic frequency of a = 1 - A = 0.4
Individuals with dominant phenotype = AA + Aa
AA = 36%
Aa = 2 × 0.4 × 0.6 = 0.48 = 48%
Individuals with dominant phenotype = 36 + 48 = 84%
Individuals with one recessive allele = Aa = 48%
Individuals with two recessive alleles = aa = 0.4 × 0.4 = 0.16 = 16%
Individuals with atleast one recessive allele = 48% + 16% = 64%
So, yes our calculations support the condition given in the question, that 64% individuals have atleast one recessive allele.
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