My given q^2 is .15 and my given population is 1000.
q^2 is the homozygous reccessesive allele combination (qq).
with that information, I can find out the homozygous dominant allele combination (PP), heterozygous allele combination (Pq), dominant allele (p), and recessive allele (q).. I can also find the amount of individuals in the population that has each certain allele combination.
My calculations broken down step by step...
Since q^2 is the homozygouse recessive allele combination, to find the receissive allele alone, you square root q2.
q2= .15 ---> q= .39
Now that I have found q, I must find p. to find that, I subtract .39 from 1.0. I subtract .39 from 1.0 because q+p must equal 1.
1.0 - .39= .61
p= .61
To find p^2, I square p which was .61. I now have p^2, q^2, q, and p. With this information , I can now complete the hardy-weinberg equation. Which is, p^2 + 2(p)(q) + q^2.
.37 + 2(.61)(.39) + .15
or
.37 + .48 +.15
Now, we have a completed equation and a given population (1000), we can find several characteristics of a population, which we have already done! however, taking it a step forward, I will also find how many individuals are homozygous dominant, heterozygous, and homozygous recessive.
gathering all of my information together, I have already found...
Homozygous recessive allele frequency: q^2= .15 --> 15%
Homozygous dominant allele frequency: p^2= .37 --> 37%
Heterozygous frequency: 2(p)(q)= .48 --> 48%
Recessive allele frequency: q= .39 --> 39%
Dominant allele frequency: p= .61 --> 61%
Now to find how much individuals in the population that are homozygous recessive, dominant, or heterozygous!! First, get q^2, p^2, and 2(p)(q). we have already found that.
Second, multiply those numbers with 1000 (since that is our given population) to find how many individuals in the population have that gene combination.
q^2 (homozygous recessive): .15 x 1000= 150 individuals
p^2 (homozygous dominant): .37 x 1000= 370 individuals
2(p)(q) (heterzygous): .48 x 1000= 480 individuals
now we are finished!!
summed up, with a hardy-weinberg equation, a given q^2, and a given population number, we can find out several characteristics involving the gene pool of the population.
now we are finished!!
summed up, with a hardy-weinberg equation, a given q^2, and a given population number, we can find out several characteristics involving the gene pool of the population.
