Final answer:
The frequency of the recessive allele causing the white coat in Kermode bears is approximately 0.548 on Gribbell Island and 0.316 on Princess Royal Island, calculated using the Hardy-Weinberg principle.
Step-by-step explanation:
The question involves predicting the frequency of a recessive allele responsible for the white coat color in the Kermode bear population on Gribbell Island and Princess Royal Island.
To predict the frequency of the recessive allele, we can use the Hardy-Weinberg equilibrium principle. Under this principle, the frequency of homozygous recessive individuals (white bears) is the square of the frequency of the recessive allele (q^2). Therefore, to find the frequency of the recessive allele (q), we take the square root of the frequency of the white bears.
- For Gribbell Island: q^2 = 0.30 for white bears. q = sqrt(0.30) ≈ 0.548.
- For Princess Royal Island: q^2 = 0.10 for white bears. q = sqrt(0.10) ≈ 0.316.