Final answer:
The allele frequency for a1 after the first generation will remain at 0.4.
Step-by-step explanation:
The allele frequency for a1 after the first generation can be calculated by taking into account the original frequency of a1 in the population (pi) and the frequency of a1 in the migrants (Pm). In this case, the original frequency of a1 is 0.4 and the frequency of a1 in the migrants is 0.6.
To calculate the new allele frequency (pf) after the first generation, you can use the formula:
pf = (pi * (1 - Pm)) + (Pm * Pm)
Substituting the given values:
pf = (0.4 * (1 - 0.1)) + (0.1 * 0.6) = 0.34 + 0.06 = 0.4
Therefore, the allele frequency for a1 after the first generation will remain at 0.4.
1