Which of the following represents the frequency of dominant individuals in a Hardy – Weinberg population?

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$p^{2} + 2 pq$

$q^{2} + 2 pq$

$P^{2} + q^{2}$

P + q

answer is C.

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Detailed Solution

The frequency of dominant individuals in a Hardy-Weinberg population can be determined by examining the genotype frequencies. The Hardy-Weinberg equilibrium is represented by the following equation for a two-allele system (e.g., one dominant allele, A, and one recessive allele, a):

$p^{2} + 2 pq + q^{2} = 1$

p2 represents the frequency of homozygous dominant individuals.
2pq represents the frequency of heterozygous individuals.
q2 represents the frequency of homozygous recessive individuals.

In this equation, p is the frequency of the dominant allele, and q is the frequency of the recessive allele. Since dominant individuals can be either homozygous dominant (expressing two dominant alleles) or heterozygous (expressing one dominant and one recessive allele), the sum of p2 and 2pq represents the frequency of dominant individuals in the population.

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