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The table shows a population consisting of 80 individuals for which genotypes AA, Aa, and aa have been identified and counted

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True

False

The a allele frequency is 1-0.6875 = 0.3125

The number of a alleles is calculated 2(10) + 30 = 50.

The frequency of the A allele is 0.6875

The number of A alleles in this population is 110.

The A allele frequency is the number of A alleles divided by the total of all chromosomes sampled.

The frequencies of A and a must add up to 1

The number of a alleles is calculated 10+½(30) = 25

The frequency of the A allele is 0.3438

The gene pool in this case is 80 alleles of gene A.

The number of A alleles in this population is 55

In this population, the number of chromosomes with A gene alleles is 160

The A allele frequency is the number of A alleles divided by the total number of individuals.

Explanation:

The table shows a population consisting of 80 individuals for which genotypes AA, Aa, and aa have been identified and counted. This organism is a diploid, and A and a are the only alleles at the locus. Using the data from this table as a starting point, categorize each statement below as true or false.

Genotype

AA

Aa

aa

Total

Number of individuals

40

30

10

80

Frequency of A allele = [{(2×number of individual with genotype AA) + number of individual with genotype Aa} ÷ (2×total number of individual)] = [{(2×40)+30} ÷ (2×80)] = [{80+30} ÷ 160] = [110 ÷ 160] = 0.6875

We known that, sum of the frequency of allele A and allele a is 1, i.e., A+a = 1

So, a = 1-A = 1-0.6875 = 0.3125

Number of A alleles = {(2×number of individual with genotype AA) + number of individual with genotype Aa} = {(2×40)+30} = {80+30} = 110

Number of a alleles = {(2×number of individual with genotype aa) + number of individual with genotype Aa} = {(2×10)+30} = {20+30} = 50

So, total number of allele in the gene pool = (number of allele A + number of allele a) = (110+50) = 160

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