This question will be focusing on a frequent topic in the area of population gen

Question

This question will be focusing on a frequent topic in the area of population genetics, the Hardy-Weinberg gene frequencies.

Consider two gene variants, A and a present in a population at frequencies p and 1-p, respectively. Suppose two genes are drawn randomly from the population to produce offspring: its genotypes will be either AA, Aa or aa. If the two draws are independent from one another, what is the probability of each genotype given the population having a 55% frequency of A genes? (Note: we take Aa and aA to be equivalent)

AA = ___ %   Aa = ___%   aa = ___%

Answers are in percentages. Your answers should be as exact as possible (ie. include up to two decimal places if necessary).

Explanation / Answer

We have

P(A) = 0.55

AA = 0.55*0.55 = 30.25%

Aa = 0.55*0.45 = 24.75%

aa = 0.45*0.45 = 20.25%

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