Many genetic disorders, such as cystic fibrosis and sickle-cell disease are due to mutations in a recessive allele.  You have sampled an isolated population in which you know that the percentage of the homozygous recessive genotype (aa) is 36%. Using that 36%, calculate: 1d. the frequency of the "AA" genotype (round to the nearest hundredth)

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Many genetic disorders, such as cystic fibrosis and sickle-cell disease are due to mutations in a recessive allele.  You have sampled an isolated population in which you know that the percentage of the homozygous recessive genotype (aa) is 36%. Using that 36%, calculate:

1d. the frequency of the "AA" genotype (round to the nearest hundredth)

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We may use the Hardy-Weinberg equation to estimate the frequency of "AA" genotype in a population.

In population genetics, the theory of Hardy–Weinberg, also called the  Hardy–Weinberg theorem, suggests that in the absence of any other evolutionary factors, the allelic frequencies and genotypic frequencies in a population stays constant from generation to generation.

For a population in genetic equilibrium:
 p + q = 1                                                              (The sum of the frequencies of both alleles is 100%.)

here, p = the frequency of the dominant allele (represented here by A)
        q = the frequency of the recessive allele (represented here by a)

So the Hardy-Weinberg equation is expressed as:

p2 + 2pq + q2 = 1; where; 

p2 = frequency of AA (homozygous dominant)
2pq = frequency of Aa (heterozygous)
q2 = frequency of aa (homozygous recessive)



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