Assume coat color in rabbits is determined by a two-allele locus with alleles C and c, with C dominant to c. C_ individuals are black and cc individuals are albino. The phenotype frequencies in a population satisfying Hardy-Weinberg conditions are:black 0.91 albino 0.09 What are the frequencies of the two alleles?What are the frequencies of the three genotypes?

Answer :

Answer:

a) frequencies of the two alleles - [tex]q=0.3, p=0.7[/tex]

b) the frequencies of the three genotypes -

[tex]p^2=0.49\\2pq=0.42\\q^2= 0.09[/tex]

Explanation:

Given,

Phenotypic frequency of albino is [tex]0.09[/tex]

Being a recessive allele, the phenotypic frequency will exits in species that have homozygous recessive genotype i,e cc

Thus , the genotypic frequency of "cc" is [tex]0.09[/tex]

As per Hardy Weinberg's equation, frequency of homozygous recessive genotype is represented by "[tex]q^{2}[/tex]"

So, the frequency of recessive allele will be "q"

[tex]q=\sqrt{q^2} \\q=\sqrt{0.09} \\q= 0.3[/tex]

Hence, as per equation [tex]p+q=1[/tex]

[tex]p=1-q\\p=1-0.3\\p=0.7[/tex]

Frequency of genotype "homozygous dominant CC" will be

[tex]p^{2} \\0.7^2\\0.49[/tex]

As per second equation of Weinberg's equillibrium-

[tex]p^{2} +2pq+q^{2} =1\\0.49+2pq+0.09=1\\2pq=0.42[/tex]

Hence,

a) frequencies of the two alleles - [tex]q=0.3, p=0.7[/tex]

b) the frequencies of the three genotypes -

[tex]p^2=0.49\\2pq=0.42\\q^2= 0.09[/tex]

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