- p2 + 2pq + q2 = 1 and p + q = 1
- p = frequency of the dominant allele in the population
- q = frequency of the recessive allele in the population
- p2 = percentage of homozygous dominant individuals
- q2 = percentage of homozygous recessive individuals
- 2pq = percentage of heterozygous individuals
- remember to check what the problem really wants you to solve for
You have sampled a population in which you know that the percentage of the homozygous recessive genotype (aa) is 36%. Using that 36%, calculate the following:
----The frequency of the "aa" genotype.
So we know the "aa" must be the recessive allele so that means q^2 is 36% because q^2 is the population
----The frequency of the "a" allele.
Now to find the allele frequency, we first have to take the square root of .36 (36%). This means that the allele frequency is 0.6 or 60%
----The frequency of the "A" allele.
This allele frequency can be calculated by using the equation: p + q = 1 Then we plug in the information. q=0.6 which means p must be 0.4 or 40%
----The frequencies of the genotypes "AA" and "Aa."
We must use the equation:p2 + 2pq + q2
Then we plug in what we know P=.4 Q= .6 p^2 = .16 q^2 = .36. So now we know that the frequency of the genotype "AA" is 16%. Now we plug in P and Q in order to solve for 2PQ = 2(.4)(.6)= .48
This means that the allele frequency for "Aa" is 48%
If you are still confused, watch this video: https://www.youtube.com/watch?v=xPkOAnK20kw
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