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Sample Problem # 2 1. A population called the founder generation consisting of 2000 AA individuals, 2000 Aa individuals, and 6000 aa individuals is established on a remote island. Mating within this population occurs at random, the three genotypes are selectively neutral, and mutations occur at a negligible rate 9 What are the frequencies of alleles A and a in the founder generation? Is the founder generation at Hardy-Weinberg equilibrium? Is the second generation at Hardy-Weinberg equilibrium? What is the frequency of the A allele in the second generation? What are the frequencies for the AA, Aa, and aa genotypes in the second generation? a) b) c) d) e) f) What are the frequencies for the AA, Aa, and aa genotypes in the third generation?

a through f

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Answer #1

a)Frequency of A allele is 6,000/ 20,000 is 0.3 = p

Number of individuals AA is 2000 and number of A alleles is 4,000 and in

Number of individuals Aa is 2000 and number of A alleles is 2000 and

Total is 6,000 and number of a alleles is 2,000 and 12,000 and total is 14,000

Hence frequency of a allele is 14,000/ 20,000 is 0.7=p

b)The founder population is not in equilibrium

Frequency of AA should be 0.3 x 0.3 =0.09

Frequency of Aa should be 2 x 0.3 x 0.7 = 0.42

Frequency of aa should be 0.7 x0.7 =0.49

For 10,000 individuals , number of individuals should be900 AA,4200 Aa, 4900 aa

Hence not in equilibrium.

c) Yes, the second genration is in equilibrium.

d)Given the condition of random mating, selectively neutral alleles, no new mutations, allele frequencies do not change from one generation to the other, p= 0.3 and q = 0.7.

e) The genotype frequencies would be the same calculated as in part b because in one genration will go to equilibrium.

f)The genotype frequencies will be the same as in every generation as it is in equilibrium.

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