You are studying skin color in a population of frogs at Lake Johnson. Your original population of 350 frogs had a green allele frequency of 0.27. An animal rights student group "rescued" 50 lab frog that had a green allele frequency of 0.9 and released them into Lake Johnson where they mixed with your population.

What is the frequency of the green skin allele in the population after migration?

Please round your answer correctly to 4 decimal digits.

0.3486  

Explanation:

Given that:

original population of 350 frogs had a green allele frequency of 0.27

Let the original population W be =   (350 frogs)

and its green allele frequency  gW be =  (0.27)

Also,  An animal rights student group "rescued" 50 lab frog that had a green allele frequency of 0.9 and released them into Lake Johnson where they mixed with your population.

Let's take this process one after the other.

Let 'k' be the amount of the frogs that the student rescued = 50

and the green allele frequency of the rescue frog be gR = (0.9)

k =

k =

k =

k = 0.125

Now, when they were released to the Lake Johnson where they were mixed with the population; the frequency of the green skin allele after these migration;

= k × gR + (1-k) ×  gW

= (0.125 × 0.9) + (1 - 0.125) ×  (0.27)

= 0.1125 + (0.875)(0.27)

= 0.1125 + 0.23625

= 0.34875

= 0.3486      (to 4 decimal digits)

∴ the frequency of the green skin allele in the population after migration = 0.3486