An experiment was carried out using a very large laboratorypopulation of the com

Question

An experiment was carried out using a very large laboratorypopulation of the common fruit fly in which there were twoeye-color alleles present, one red and the other brown. Thefrequency of the red allele in the base population was 0.5. Theresearchers created a new group of flies containing 32 alleles byrandomly sampling from this large population. They created a secondnew group of 32 alleles by sampling again from the base population.They repeated this procedure until there were a large number of newpopulations, all containing 32 alleles. The frequency distributionof the proportions of red-eyed alleles in the new groups closelymatched a binomial distribution with n = 32 and p = 0.5.

a) On average, what do we expect the mean proportion of thered-eyed allele to be in the new groups?
b) What should the standard deviation among groups in theproportion of red-eyed alleles be?

Explanation / Answer

a) The mean proportion of the red-eyed alleleto be in the new groups = =n p = 32*0.5 = 16 b) The standard deviation among groups in theproportion of red-eyed alleles be = =np(1-p) =32*0.5*0.5 = 2.8284

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