Question

A population that we know to be in HWE has the following allele frequencies: Allele    Frequency...

A population that we know to be in HWE has the following allele frequencies:

Allele    Frequency

A1          0.1

A2          0.3

A3          0.6

1. If you sample one individual at random from this population, what is the probability that it will be a heterozygote? (Show your work;

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Answer #1

As given in the question,

Frequency of the A1 allele = 0.1

Frequency of A2 allele = 0.3

Frequency of A3 allele = 0.6

According to Hardy Weinberg equilibrium for three alleles,

the frequency of heterozygotes in the population can be depicted by = 2A1A2 + 2 A2A3 + 2A3A1

Therefore, 2 * (0.1*0.3) + 2(0.3*0.6) + 2(0.6*0.1)

= 0.06 + 0.36 + 0.12

= 0.54

So from this we conclude that in every 100 individuals 54 will be heterozygotes, hence at random, if an individual is picked, then the probability of that individual to be heterozygote is 0.54 (Answer ).

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