To calculate the frequency of individuals with the Aa genotype in a population of giraffes with a frequency of AA individuals at 0.64, we need to use the Hardy-Weinberg equilibrium formula.
The formula for the frequency of the Aa genotype is:
2pq = Aa genotype frequency
where p is the frequency of one allele (in this case, "A"), and q is the frequency of the other allele (in this case, "a").
Using the formula, we first need to find the frequency of the "A" allele:
p² + 2pq + q² = 1
Given that the frequency of AA individuals is 0.64, we know that p² = 0.64. Therefore, p = 0.8.
Next, we can solve for q:
p + q = 1
0.8 + q = 1
q = 0.2
Now we can calculate the frequency of the Aa genotype:
2pq = 2(0.8)(0.2) = 0.32
So the frequency of individuals with the Aa genotype is 0.32.