Question

A hypothetical population has two alleles for a gene: a and
a. in a random sample of 50 individuals, 20 are homozygous for a, 10 are homozygous for a, and 20 are heterozygous. what is the frequency of a?

Answer 1

homozygous for a, 10 are homozygous for a, and 20 are heterozygous

Answer 2

If in a random sample of 50 individuals, 20 are homo-zygous for 'a', 10 are homo-zygous for 'A', and 20 are heterozygous, then the expected frequency of the 'a' allele in the hypothetical population is 0.6.

• Diploid (2n) organisms always have two gene forms or 'alleles' at each genetic locus

• A homo-zygous individual is an individual who has two copies of the same allele at a given locus, whereas a heterozygous individual is an individual who has two different alleles at a given locus.

In this case, the allele frequencies can be easily estimated as

• Frequency = the total number of alleles in homo-zygous individuals + the total number of alleles in heterozygous individuals / the total number of alleles in all the sample

In this case,

• Expected frequency of 'A' allele: (10 x 2) + 20/100 = 0.4

• Expected frequency of 'a' allele: (20 x 2) + 20/100 = 0.6

In conclusion, if in a random sample of 50 individuals, 20 are homo-zygous for 'a', 10 are homo-zygous for 'A', and 20 are heterozygous, then the expected frequency of the 'a' allele in the hypothetical population is 0.6.

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