In a population of 20,000 individuals with alleles M and N, in which 9000 are MM, what are the frequencies of the M alleles and the N alleles?
Here, the total number of individuals in the population = 20000
Let 'p' be the frequency of the M allele and 'q' be the frequency of the N allele.
Also, then 'p2' represents the frequency of the individuals having MM genotype, and 'q2' represents the frequency of the individuals having NN genotype. So, '2pq' will represent the frequency of the individuals having MN genotype.
Here, p2 = 9000/20000 = 0.45
so, p = square root of 0.45 = 0.671
Now, according to the Hardy weinberg equilibrium, we know that: p + q = 1
So, q = 1 -p = 1 - 0.671 = 0.329
So, the frequency of the M allele (p) = 0.671
The frequency of the N allele (q) = 0.329
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