The equation p + 2pq + q = 1 representing the Hardy-Weinberg proportions examines genes with only two alleles in a population. a. Derive a similar equation describing the equilib- rium proportions of genotypes for a gene with three alleles. [Hint: Remember that the Hardy- Weinberg equation can be written as the binomial expansion (p + q)*.] b. A single gene with three alleles (r, 1", and i) is responsible for the ABO blood groups. Individuals with blood type A can be either A or ^ i; those with blood type B can be either /* 1 or * i; people with AB blood are r*, and type O individuals are ii. Among Armenians, the frequency of ^ is 0.360, the frequency of 1 is 0.104, and the frequency of i is 0.536. Calculate the frequencies of individuals in this population with the four possible blood types, assuming Hardy-Weinberg equilibrium. %3D
Evolutionary Genetics
Evolution is known as continuous changes that occur to adjust organisms in their changing environment over many generations. Various theories have been proposed to illustrate the origin of life and organic evolution. The most accepted one is the theory of natural selection by Charles Darwin. According to his postulate, organisms undergo a struggle for existence due to overproduction. To survive in nature, they acquire variations. The inheritable variations are selected by nature, and it leads to the survival of the fittest.
Phenotype Frequency
The majority of populations have a certain degree of variation in their genetic pools. Scientists can predict the genetic variation happening over time by measuring the amount of genetic variation in a population and these predictions assist them in gaining important insights into the processes that allow organisms to adapt to the environment or to develop into new species over generations. This process is referred to as the process of evolution.
Hardy Weinberg Equilibrium
The frequencies of allele and genotype were maintained constant from one generation to another due to the absence of other evolutionary forces. It is otherwise called the Hardy Weinberg principle the field of population genetics.
![The equation p + 2pq + q = 1 representing the
Hardy-Weinberg proportions examines genes with
only two alleles in a population.
a. Derive a similar equation describing the equilib-
rium proportions of genotypes for a gene with
three alleles. [Hint: Remember that the Hardy-
Weinberg equation can be written as the binomial
expansion (p + q)*.]
b. A single gene with three alleles (r, 1", and i) is
responsible for the ABO blood groups. Individuals
with blood type A can be either A or ^ i; those
with blood type B can be either /* 1 or * i; people
with AB blood are r*, and type O individuals are
ii. Among Armenians, the frequency of ^ is 0.360,
the frequency of 1 is 0.104, and the frequency of i
is 0.536. Calculate the frequencies of individuals in
this population with the four possible blood types,
assuming Hardy-Weinberg equilibrium.
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e118eee-6072-4841-9224-b91b81bb920f%2F9c203f7b-672a-4d8a-81d0-cd6f84f4a62d%2F2uro1p9.jpeg&w=3840&q=75)
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