The Ainu population in Japan has the following observed freq

The Ainu population in Japan has the following observed frequencies for the human MN blood antigen system: MM = 17.9%, MN = 50.2%, and NN = 31.9%. 7a. What are the observed allelic frequencies? 7b. What would be the expected genotypic frequencies under H-W? 7c. Do you think the Ainu are in H-W equilibrium for the MN locus based on your results?

Please help me work through this problem.

Solution

Answer:

The frequency of MM = q2 = 17.9% = 0.179

The frequency of allele M = q = 0.42

p+q=1

p=1-q = 1-0.42 = 0.58

The frequency of allele N = p = 0.58

Expected MM frequency = q2 = 0.179=17.9%

Expected NN frequency = p2 = 0.58 * 0.58 = 0.3364=33.64%

Expected MN frequency = 2pq = 2* 0.58 * 0.42= 0.487=48.7%

H-W equation = p2 + 2pq+q2 = 1

0.3364 + 0.487 + 0.179 = 1.002

Totally the population is in H-W equilibrium, based on the expected result.