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

Human Heredity: Principles and Issues (MindTap Course List)
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Author:Michael Cummings
Publisher:Michael Cummings
Chapter19: Population Genetics And Human Evolution
Section: Chapter Questions
Problem 9QP: Using the HardyWeinberg Law in Human Genetics Suppose you are monitoring the allelic and genotypic...
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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
Transcribed Image Text: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
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