0.44 the frequency of the homozygous individuals in this population.
What is Hardy-Weinberg principle ?
The Hardy-Weinberg equilibrium is a principle stating that the genetic variation in a population will remain constant from one generation to the next in the absence of disturbing factors.
From the Hardy Weinberg Law of Population and Genetics,
We have
x²+2xy+y²=1 and
x+y=1
where
x = frequency of the dominant allele in the population
y = frequency of the recessive allele in the population
x2 = percentage of homozygous dominant individuals
y2 = percentage of homozygous recessive individuals
2xy = percentage of heterozygous individuals
Given 2xy = 0.56
from here, y=0.28/x, (the frequency of the recessive allele ) can be obtained
we need to find 'x'
recall, x+y=1, x=1-y
substituting this gives us
y=0.28/(1-y), which becomes,
y(1-y)=0.28
y²- y + 0.28 (quadratic equation)
Solving this to find 'y' gives two imaginary values of y = 0.44 but ,
There is no imaginary solution .
Learn more about Hardy Weinberg Law of Population
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