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If 23 geese in a population of 142 are white, and 119 are blue, how many of the blue geese would you expect to be carriers of the b allele (i.e., Bb heterozygotes)

Respuesta :

10n31y

This is based on my assumption that white is the recessive trait.

1) find recessive allele frequency

[tex]q^{2}=\frac{23}{142}\\\\q^{2}=0.161971831\\\\\sqrt{q^{2}}=\sqrt{0.161...}\\\\ q=0.4024572412[/tex]

2) find dominant allele frequency

[tex]p+q=1\\\\p=1-q\\\\p=1-0.402...\\\\p=0.5975427588[/tex]

3) find heterozygous genotypic frequency

[tex]2pq=2(0.597...)(0.0402...)\\\\2pq=0.4809708204[/tex]

4) solve

[tex]heterozygous=(142)(0.480...)[/tex]

heterozygous = 68.2978565

In a population of 142, around 68 of the geese would be heterozygous.