Final answer:
The genotype frequencies in the snake population for BᴮBᴮ, BᴮBᵧ, and BᵧBᵧ are 0.64, 0.20, and 0.16 respectively. The allele frequency of Bᴮ is 0.74.
Step-by-step explanation:
To calculate the genotype frequencies for a population where the allele for blue color (Bᴮ) and the allele for green color (Bᵧ) show incomplete dominance, we will use the total number of individuals displaying each color. We have 160 blue (BᴮBᴮ), 50 turquoise (BᴮBᵧ), and 40 green (BᵧBᵧ) snakes. Since turquoise represents the heterozygous genotype, the genotype frequencies can be calculated as follows:
BᴮBᴮ frequency: 160 / (160 + 50 + 40) = 160 / 250 = 0.64
- BᴮBᵧ frequency: 50 / 250 = 0.20
- BᵧBᵧ frequency: 40 / 250 = 0.16
As for the allele frequency of Bᴮ in the population, we need to consider that the heterozygous individuals (BᴮBᵧ) have one Bᴮ allele each, while homozygous blue individuals have two Bᴮ alleles. The frequency of Bᴮ, therefore, can be calculated as:
(2 * number of BᴮBᴮ + number of BᴮBᵧ) / (2 * total population)
(2 * 160 + 50) / (2 * 250) = (320 + 50) / 500 = 370 / 500 = 0.74
The allele frequency of Bᴮ is thus 0.74 or 74% in this population.