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1. Imagine a gene that has two alleles—the dominant wild-type A allele and the r

ID: 71266 • Letter: 1

Question

1. Imagine a gene that has two alleles—the dominant wild-type A allele and the recessive disease-causing mutation, called the a allele. Our population is in Hardy-Weinberg equilibrium, and there are 8 times as many heterozygous carriers of the mutation in the population as there are people affected with the disease. 1A.What are the frequencies of the A and a alleles in this population? 1B. the population undergoes a long period of inbreeding between first cousins (F = 0.0625), after the population reaches equilibrium, what will the frequency of homozygotes and heterozygotes be?

I keep getting p=1 or p=4, but probability should not be greater than 1 so it is not making sense to me.

Explanation / Answer

Based on the given data,

Here, the population is in HW equilibrium. For example, consider number of individuals

Therefore, the genotypic frequencies are as follows:

Thus, p2 + 2pq + q2 = 1.

1A)

Now calculate the frequencies of the “A” and “a” alleles in this population:

Thus,