In a moth population of 40 organisms the distribution of genotypes were found to be the following: 20 homozygous for black (C C ), 10 gray heterozygous ( C C ) and 10 homozygous for white (C C ). Find the frequency of gray alleles in this population.
Given that, in a population of 40 moths, 20 are homozygous for black (C C ), 10 are gray heterozygous ( C C ) and 10 homozygous for white (C C). This can be represented as :
Homozygous black, CbCb = 20
Heterozygous gray,CCg = 10
Homozygous white, CwCw = 20
We need to calculate the frequency of gray alleles, Cg.
Solution:
The frequency of gray alleles can be determined as:
p = Number of Gray alleles/ Total alleles in the population
The gray alleles are present only in the heterozygous individuals. Since there are 10 such individuals, thus we have 10 gray alleles. Also, for a total population of 40, total alleles in the population will be, 2 * 40, that is, 80 alleles.
Hence,
p=10/80
p=0.125
Thus, the frequency of gray alleles in this population is 0.125
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