An infinitely large population has an allele frequency of p=3/4 and is split into a large number of subpopulations of size N=3

A. Find 0X=[x0,x1, x2, x3, x4, x5, x6] if subdivision occurred from a population in H-W equilibrium (hint, this distribution can be found using the binomial formula with p=.75).

B. Find the frequency distribution of subpopulations in the next two generations
(1X, 2X)

C. Average allele frequency in the initial and next 2 generations

D. Average heterozygosity in the initial and next 2 generations (oh, 1h, 2h ) note:

H=[0, 5/15, 8/15, 9/15, 8/15, 5/15, 0]

E. What is the approximate general formula for expected heterozygosity in the tth generation. How do the results compare with your answers?

F. What proportion of the heterozygosity observed in the initial generation remains in generations 1 and 2? What is the expected proportion of heterozygosity remaining in the tth generation?

G. What is the expected distribution of tX as t approaches infinity?