Genetic Equilibrium

[RHONDAROBINSON]

I am having some trouble with genetic equilibrium. Can someone explain these problems to me.

1.A population consist of 9% white sheep and 91% black sheep. What is the frequency of black-wool allele if the black wool allele is dominant and the white wool allele is recessive?
2. What percentage of the population that is in Hardy Weinberg equilibrium is heterzygotes if the dominant allele is 0.4.


Rhonda

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[299678]

I am having some trouble with genetic equilibrium. Can someone explain these problems to me.

1.A population consist of 9% white sheep and 91% black sheep. What is the frequency of black-wool allele if the black wool allele is dominant and the white wool allele is recessive?



2. What percentage of the population that is in Hardy Weinberg equilibrium is heterzygotes if the dominant allele is 0.4.


1. Black = dominant, and white = recessive
a population consists of 9% of white, so we can have information from this.
since white is recessive allele, to be white phenotype it should be ww
so q^2 = 0.09, q=0.3, so frequency of black allele => P + 0.3 = 1, so p = 0.7

2. Dominant = 0.4, so p = 0.4, so q = 0.6 since p+q = 1

Question asks for heterozygotes which means 2pq

so plug in those values in 2pq, 2 x 0.4 x 0.6 = 0.48, so 48%

 

[redchesus]

^ kpark102 is referring to the Hardy-Weinberg equilibrium equations in case you're confused

p = frequency of dominant allele
q = frequency of recessive allele

p + q = 1
p^2 + 2pq + q^2 = 1