Final answer:
To calculate the frequencies of alleles and genotypes in the Sasquatch population based on the observed hair length, we can use the Hardy-Weinberg equations. The frequency of the H allele is 0.16, the frequency of the h allele is 0.84, and the frequencies of the genotypes HH, Hh, and hh are 0.0256, 0.2688, and 0.7056 respectively.
Step-by-step explanation:
To calculate the frequencies of the alleles and genotypes in the Sasquatch population, we will use the Hardy-Weinberg equations: p + q = 1 and p^2 + 2pq + q^2 = 1.
In this case, short hair (H) is dominant and long hair (h) is recessive. Since 20 out of 125 sasquatches have short hair, the frequency of the H allele (p) is 20/125 = 0.16.
The frequency of the h allele (q) can be calculated as 1 - p = 1 - 0.16 = 0.84. Using these values, we can calculate the frequencies of the genotypes:
- HH: p^2 = 0.16^2 = 0.0256
- Hh: 2pq = 2 * 0.16 * 0.84 = 0.2688
- hh: q^2 = 0.84^2 = 0.7056
These frequencies represent the genetic structure of the Sasquatch population with respect to hair length.