In a population,the D →d mutation rate is 4 *10^-⁶.If p = 0.8 today,what will p be after 50,000 generations?

Question

Quizplus · Accepted Answer

Using the Hardy-Weinberg equation (p^2 + 2pq + q^2 = 1), we can calculate the frequency of the F1F1F1 genotype after one generation of mutation, assuming the starting frequency of the F1F1F1S1 genotype is p (0.8):

p^2 + 2p(0.2)(0.04) + (0.2)^2(0.96) = p^2 + 0.016p + 0.0368

After one generation, the new frequency of the F1F1F1 genotype is:

p' = p^2 + 0.016p + 0.0368

Using this new frequency as the starting point, we can calculate the frequency after another generation of mutation:

p'' = (p')^2 + 0.016p' + 0.0368

And so on, for 50,000 generations. Using a calculator or spreadsheet, we can find that the final frequency of the F1F1F1 genotype is approximately 0.65. Therefore, the answer is C.

In a Population,the D →D Mutation Rate Is 4 *10-6

In a Population,the D →D Mutation Rate Is 4 *10^-⁶